Dany Leviatan | Academic Influence

Dany Leviatan's AcademicInfluence.com Rankings

Dany Leviatan

Mathematics

#5495

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#7727

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Group Theory

#256

World Rank

#303

Historical Rank

Number Theory

#342

World Rank

#425

Historical Rank

Algebra

#598

World Rank

#787

Historical Rank

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Mathematics

Dany Leviatan's Degrees

PhD Mathematics Tel Aviv University
Masters Mathematics Tel Aviv University
Bachelors Mathematics Tel Aviv University

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According to Wikipedia, Dany Leviatan is an Israeli mathematician and former rector of Tel Aviv University. Biography Dany Leviatan completed his B.Sc. and M.Sc. at the Hebrew University of Jerusalem. A participant in the Academic Atuda program, Leviatan served as a mathematician in the Israel Air Force while working on his doctorate at the Hebrew University, which he completed in 1966.

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Dany Leviatan's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

On the Stability and Accuracy of Least Squares Approximations (2011) (211)
Simultaneous approximation by greedy algorithms (2006) (72)
Multivariate Approximation and Applications: Index (2001) (66)
Pointwise estimates for convex polynomial approximation (1986) (62)
Wavelet compression and nonlinearn-widths (1993) (58)
Adaptive Multivariate Approximation Using Binary Space Partitions and Geometric Wavelets (2005) (55)
The Bramble-Hilbert Lemma for Convex Domains (2004) (48)
Uniform and Pointwise Shape Preserving Approximation by Algebraic Polynomials (2011) (42)
Polynomial approximation inLp (0 (1992) (41)
Introduction to shift-invariant spaces. Linear independence (2001) (39)
On Comonotone Approximation (1983) (39)
Monotone and comonotone polynomial approximation revisited (1988) (37)
Some Positive Results and Counterexamples in Comonotone Approximation (1997) (30)
Shape preserving widths of Sobolev-type classes ofs-monotone functions on a finite interval (2003) (29)
Convex polynomial and spline approximation in C[−1, 1] (1994) (29)
Interpolatory Pointwise Estimates for Polynomial Approximation (2000) (28)
The degree of coconvex polynomial approximation (1999) (27)
The behavior of the derivatives of the algebraic polynomials of best approximation (1982) (27)
Shape-preserving approximation by polynomials (2000) (26)
Nearly Comonotone Approximation (1998) (26)
Convex Polynomial Approximation in the Uniform Norm: Conclusion (2005) (25)
New Moduli of Smoothness: Weighted DT Moduli Revisited and Applied (2014) (21)
Whitney Estimates for Convex Domains with Applications to Multivariate Piecewise Polynomial Approximation (2004) (19)
Simultaneous polynomial approximation (1993) (19)
Convex polynomial and spline approximation inLp, O (1996) (19)
Inverse theorem for best polynomial approximation in _{},0<<1 (1994) (19)
Are the degrees of the best (co)convex and unconstrained polynomial approximations the same? II (2010) (18)
A property of approximation operators and applications to Tauberian constants (1967) (18)
Coconvex polynomial approximation (2003) (17)
Kolmogorov and linear widths of weighted Sobolev-type classes on a finite interval (2002) (16)
Kolmogorov and Linear Widths of Weighted Sobolev-Type Classes on a Finite Interval, II (2001) (16)
The degree of copositive approximation by polynomials (1983) (16)
Estimates on the approximation of 3-monotone functions by 3-monotone quadratic splines (2001) (15)
The Rate of Monotone Spline Approximation in the $L_p $-Norm (1982) (15)
Copositive Polynomial and Spline Approximation (1995) (15)
Coconvex Approximation (2002) (15)
On the Jackson-Müntz theorem (1974) (14)
Coconvex approximation in the uniform norm: the final frontier (2006) (14)
Widths and shape-preserving widths of Sobolev-type classes of s-monotone functions (2006) (14)
Simultaneous greedy approximation in Banach spaces (2005) (14)
Approximation by polynomials and ridge functions of classes of s-monotone radial functions (2008) (13)
On Bivariate Smoothness Spaces Associated with Nonlinear Approximation (2004) (13)
Are the degrees of best (co)convex and unconstrained polynomial approximation the same? (2009) (13)
Approximation of Monotone Functions: a Counter Example (1997) (12)
New moduli of smoothness (2014) (12)
Generalized Bernstein power-series (1967) (12)
Permissible bounds on the coefficients of approximating polynomials with real or complex exponents (1977) (11)
Interpolatory estimates for convex piecewise polynomial approximation (2018) (11)
Correction to: On the Stability and Accuracy of Least Squares Approximations (2018) (10)
LP Approximation by Reciprocals of Trigonometric and Algebraic Polynomials (1990) (10)
An Extension of Raşa’s Conjecture to q-Monotone Functions (2020) (10)
Approximation of Sobolev classes by polynomials and ridge functions (2009) (9)
Comonotone Polynomial Approximation in Lp[-1, 1], 0 < p ≦ ∞ (1997) (9)
Pointwise estimates of coconvex approximation (2014) (9)
Positive results and counterexamples in comonotone approximation II (2014) (8)
On the Remainder in the Approximation of Functions by Bernstein-Type Operators (1969) (8)
Constrained Spline Smoothing (2008) (8)
Degree of Approximation by Rational Functions with Prescribed Numerator Degree (1994) (8)
On weighted approximation with Jacobi weights (2017) (8)
Generalized polynomial approximation (1973) (8)
A CHARACTERIZATION OF TOTALLY REGULAR (J, f(x)) TRANSFORMS (1969) (8)
On approximation in the L p -norm by reciprocals of polynomials (1989) (8)
More on Comonotone Polynomial Approximation (2000) (8)
Tauberian Constants for Generalized Hausdorff Transformations (1968) (7)
Interpolatory estimates in monotone piecewise polynomial approximation (2017) (7)
Freeknot splines approximation of Sobolev-type classes of s-monotone functions (2007) (7)
Free-knot Splines Approximation of s-monotone Functions (2004) (7)
On the Moduli of Smoothness with Jacobi Weights (2017) (7)
Interpolatory pointwise estimates for monotone polynomial approximation (2017) (7)
Remarks on some Tauberian theorems of Meyer-König, Tietz and Stieglitz (1971) (6)
Positive Results and Counterexamples in Comonotone Approximation (2012) (6)
Some Moment Problems in a Finite Interval (1968) (6)
Nearly monotone spline approximation in _ (2005) (5)
Uniform and pointwise shape preserving approximation (SPA) by algebraic polynomials: an update (2019) (5)
Nikolskii-type estimates for coconvex approximation of functions with one inflection poin (2010) (5)
Shape-preserving approximation inLp (1995) (5)
Moment Problems and Quasi-Hausdorff Transformations (1968) (5)
A generalization of the mean ergodic theorem (1971) (5)
On Restricted Best Approximation to Functions with Restricted Derivatives (1976) (5)
On Measuring the Efficiency of Kernel Operators in Lp(Rd) (2004) (4)
Some Tauberian theorems for quasi-Hausdorff transforms (1969) (4)
On 3-monotone approximation by piecewise polynomials (2005) (4)
Generalized Bernstein polynomials (1966) (4)
An application of a convolution transform to the sequence-to-function analogues of Hausdorff transformations (1971) (4)
Optimal Interpolating Spaces Preserving Shape (1999) (4)
Convex polynomial approximation in L p (0< p <1) (1993) (4)
On approximation operators of the Bernstein type (1968) (4)
Absolute tauberian conditions for absolute hausdorff and quasi-hausdorff methods (1970) (4)
Adaptive multivariate piecewise polynomial approximation (2003) (4)
Shape-preserving polynomial approximation in C[– 1, 1] (1992) (4)
Monotone polynomial approximation in $L^p$ (1989) (4)
On gamma-type approximation operators (1972) (4)
On the Representation of Functions as Laplace Integrals (1969) (4)
A new approach to representation theory for convolution transforms (1970) (3)
A generalized moment problem (1967) (3)
A generalized moment problem for self-adjoint operators (1966) (3)
One Estimate for Divided Differences and its Applications (2019) (3)
On Some Properties of Moduli of Smoothness with Jacobi Weights (2019) (3)
Corrigendum to "Interpolatory estimates in monotone piecewise polynomial approximation" [J. Approx. Theory 223 (2017) 1-8] (2018) (3)
The rate of approximation by means of polynomials with restricted coefficients (1977) (3)
NEARLY MONOTONE SPLINE APPROXIMATION IN L p (2006) (3)
A representation theorem for convolution transform with determining function in Lp (1976) (3)
Coconvex Approximation by Hybrid Polynomials (2022) (2)
Wavelet Decompositions of Nonrefinable Shift Invariant Spaces (2002) (2)
Interpolatory pointwise estimates for convex polynomial approximation (2020) (2)
On Monotone and Convex Approximation by Splines with Free Knots (1996) (2)
On the representation of the remainder in the variation-diminishing spline approximation (1973) (2)
On the Connectedness of the Sets of Limit Points of Certain Transforms of Bounded Sequences(1) (1971) (2)
An Extension of Raşa’s Conjecture to q-Monotone Functions (2020) (2)
Subdivision, multiresolution and the construction of . . . (2002) (2)
Some applications of the Gamma-operators (1969) (2)
On the Relation between Piecewise Polynomial and Rational Approximation in Lp(R2) (2003) (2)
On a representation theorem and application to moment sequences in locally convex spaces (1969) (2)
Nearly monotone and nearly convex approximation by smooth splines in Lp, p>0 (2009) (2)
Weighted D-T moduli revisited and applied (2013) (2)
On the Rate of Approximation by Polynomials with Complex Exponents (1977) (2)
The Gibbs phenomenon and Lebesgue constants for regular [J,f(x)] means (1970) (2)
Relations Between the Bernstein Polynomials and q-monotone Functions (2022) (2)
Comparing the degrees of unconstrained and shape preserving approximation by polynomials (2016) (2)
The degree of shape preserving weighted polynomial approximation (2012) (1)
Correction to: On the Stability and Accuracy of Least Squares Approximations (2018) (1)
Constrained Approximation with Jacobi Weights (2016) (1)
Polynomial Approximation in Lt, (0 < p < 1) (1992) (1)
On moment sequences of operators (1969) (1)
On the q-Monotonicity Preservation of Durrmeyer-Type Operators (2021) (1)
A contribution to the Grunwald-Marcinkiewicz theorem † (2012) (1)
N ov 2 01 7 Interpolatory pointwise estimates for monotone polynomial approximation (2018) (1)
SOME TAUBERIAN THEOREMS CONCERNING (S*, μ ) TRANSFORMATIONS (1969) (1)
Pointwise estimates for 3-monotone approximation (2012) (1)
Degree of Simultaneous Coconvex Polynomial Approximation (1998) (1)
Comonotone Approximation by Splines of (1982) (1)
No Jackson-Type Estimates for Piecewise q-Monotone, q≥3, Trigonometric Approximation (2020) (1)
Monotone Trigonometric Approximation (2015) (1)
Approximation of Sobolev-Type Classes with Quasi-Seminorms (2005) (1)
Yet another look at positive linear operators, q-monotonicity and applications (2016) (1)
Wavelet decompositions of non-refinable shift invariant spaces (2001) (1)
Erratum to: ``Coconvex approximation in the uniform norm: the final frontier'' [Acta. Math. Hungar. \bf 110 (2006), no. 1-2, 117--151; \refcno 2198418] (2006) (1)
Tauberian Estimates for the Difference of Hausdorff Transforms and of Quasi‐Hausdorff Transforms (1970) (1)
Comonotone approximation by splines of piecewise monotone functions (1982) (1)
Exact order of pointwise estimates for polynomial approximation with Hermite interpolation (2021) (1)
Uniform and Pointwise Shape Preserving Approximation by (2011) (1)
Shape Preserving Widths of Weighted Sobolev-Type Classes (2002) (1)
A representation theorem and approximation operators arising from inequalities involving differential operators (1972) (1)
C A ] 1 3 O ct 2 01 7 On weighted approximation with Jacobi weights ∗ (2018) (0)
V. Contributors (2021) (0)
65 Years Since the Paper "On the Value of the Best Approximation of Functions Having a Real Singular Point" by I.I. Ibragimov" (pp.94-104) (2012) (0)
SOME ESTIMATES FOR CONVEXPOLYNOMIAL APPROXIMATION IN (2007) (0)
Interpolatory Pointwise Estimates for Polynomial Approximation X1. Introduction and Main Results (2007) (0)
``The $L^p$ Moment Problem'' for Operators in Banach Spaces (1970) (0)
Representation of Functions Related to Generalized Completely Monotonic Functions (1974) (0)
Remarks on q-Monotone Functions and the Bernstein polynomials (2022) (0)
The Muntz-Jackson Approximation Theorem (1974) (0)
COPOSITIVE POLYNOMIAL AND SPLINE (1995) (0)
THE DEGREE OF COPOSITTVE APPROXIMATION BY POLYNOMIALS (1983) (0)
Positive Results and Counterexamples in Comonotone Approximation (2012) (0)
Interpolatory pointwise estimates for convex polynomial approximation (2020) (0)
Monotone Trigonometric Approximation (2014) (0)
Some vector-valued laplace transforms (1973) (0)
Coconvex Approximation of Periodic Functions (2022) (0)
On the Moduli of Smoothness with Jacobi Weights (2018) (0)
Moment problems with functions in some Köthe spaces (1970) (0)
Edgeworth expansions for smooth functions of standardized subordinators via differential calculus for linear operators (2010) (0)
Pointure estimates for convexe polynomial approximation (1986) (0)
Saturation Theorems Related to the Mean Ergodic Theorem (1974) (0)
Correction to: Coconvex Approximation by Hybrid Polynomials (2022) (0)
On the Stability and Accuracy of Least Squares Approximations (2013) (0)
G. G. Lorentz and the Theory of Summability (1997) (0)
On Hausdorff and related moment problems (2022) (0)
New Moduli of Smoothness: Weighted DT Moduli Revisited and Applied (2014) (0)
C A ] 9 N ov 2 01 8 On moduli of smoothness with Jacobi weights ∗ (2018) (0)
Rational Bernstein and spline approximation. A new approach (2009) (0)
Comonotone approximation by hybrid polynomials (2023) (0)
Exact pointwise estimates for polynomial approximation with Hermite interpolation (2020) (0)
Multivariate Approximation and Applications: Preface (2001) (0)
On the q-Monotonicity Preservation of Durrmeyer-Type Operators (2021) (0)
THE DEGREE OF COCONVEX POLYNOMIAL APPROXIMATIONK (2007) (0)
On the Rate of Approximation by Müntz Polynomials Satisfying Constraints (1981) (0)
Approximation interpolation and summability : in honor of Amnon Jakimovski on his sixty-fifth birthday (1991) (0)

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