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Order of approximation by partial Hausdorff integrals

Journal of mathematical analysis and applications, 2023-06, Vol.522 (1), p.126924, Article 126924

Vinogradov, O.L.

2023

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Structural characterization of deviations of quasi-projectors on the real line

Journal of mathematical analysis and applications, 2021-08, Vol.500 (1), p.125115, Article 125115

Vinogradov, O.L.

2021

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Nonsaturated Estimates of the Kotelnikov Formula Error

Journal of mathematical sciences (New York, N.Y.), 2023-07, Vol.273 (4), p.465-475

Vinogradov, O. L.

2023

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Logarithmically Absolutely Monotone Trigonometric Functions

Journal of mathematical sciences (New York, N.Y.), 2022-12, Vol.268 (6), p.773-782

Vinogradov, O. L.

2022

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On the Rate of Decay of a Meyer Scaling Function

Journal of mathematical sciences (New York, N.Y.), 2022-03, Vol.261 (6), p.763-772

Vinogradov, O. L.

2022

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Analogs of the Riesz Identity, and Sharp Inequalities for Derivatives and Differences of Splines in the Integral Metric

Journal of mathematical sciences (New York, N.Y.), 2020-11, Vol.251 (2), p.215-226

Vinogradov, O. L.

2020

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On Constants in Estimates of Approximations by Entire Functions of Exponential Type in Terms of Moduli of Continuity of Derivatives

Journal of mathematical sciences (New York, N.Y.), 2022-02, Vol.261 (3), p.353-365

2022

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Strengthening of Kolmogorov Type Inequalities for Derivatives and Differences

Journal of mathematical sciences (New York, N.Y.), 2019-10, Vol.242 (1), p.119-132

Vinogradov, O. L.

2019

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Analog of the Riesz Identity and Sharp Inequalities for Derivatives and Differences of Splines in the Uniform Metric

Journal of mathematical sciences (New York, N.Y.), 2019-06, Vol.239 (3), p.268-281

Vinogradov, O. L.

2019

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Sharp Bernstein Type Inequalities for Splines in the Mean Square Metrics

Journal of mathematical sciences (New York, N.Y.), 2016-06, Vol.215 (5), p.595-600

Vinogradov, O. L.

2016

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Estimates of functionals by generalized modul of continuity generated by the dunkl operators

Journal of mathematical sciences (New York, N.Y.), 2012-07, Vol.184 (3), p.259

Vinogradov, O.L

2012

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Improvement of Jackson Type Inequalities for Moduli of Continuity of Order 4, 6, 8

Journal of mathematical sciences (New York, N.Y.), 2015-11, Vol.210 (5), p.622-634

Vinogradov, O. L.

2015

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Zeros of the Zak Transform of averaged totally positive functions

Journal of approximation theory, 2017-10, Vol.222, p.55-63

2017

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Estimates of Moments of Deviations of the Riesz Averages and Applications to Jackson Type Inequalities

Journal of mathematical sciences (New York, N.Y.), 2014-10, Vol.202 (2), p.170-183

Vinogradov, O. L.

2014

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Sharp Estimates of Linear Approximations by Nonperiodic Splines in Terms of Linear Combinations of Moduli of Continuity

Journal of mathematical sciences (New York, N.Y.), 2018-10, Vol.234 (3), p.303-317

2018

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Explicit Two-Sided Estimates for Norms of Strong Fejér–Jacobi Sums with Exponent at Most Two

Journal of mathematical sciences (New York, N.Y.), 2013-12, Vol.195 (5), p.642-664

Vinogradov, O. L.

2013

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Sharp estimates of best approximations by deviations of Weierstrass-type integrals

Journal of mathematical sciences (New York, N.Y.), 2013-11, Vol.194 (6), p.628-638

Vinogradov, O. L.

2013

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Application of the Liouville–Steklov Method to Estimation of Error of a Hilb Type Formula for Jacobi Polynomials

Journal of mathematical sciences (New York, N.Y.), 2013-08, Vol.193 (2), p.177-193

Vinogradov, O. L.

2013

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Explicit Error Estimate for a Darboux type Formula with Jacobi Polynomials

Journal of mathematical sciences (New York, N.Y.), 2013-08, Vol.193 (2), p.194-201

Vinogradov, O. L.

2013

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Sharp estimates of best approximations in terms of holomorphic functions of weierstrass-type operators

Journal of mathematical sciences (New York, N.Y.), 2013-08, Vol.193 (1), p.8-31

Vinogradov, O. L.

2013

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A Nonperiodic Spline Analog of the Akhiezer–Krein–Favard Operators

Journal of mathematical sciences (New York, N.Y.), 2016-08, Vol.217 (1), p.3-22

2016

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On the norms of generalized translation operators generated by Dunkl type operators

Journal of mathematical sciences (New York, N.Y.), 2012-08, Vol.184 (6), p.663-678

Vinogradov, O. L.

2012

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Preservation of Logarithmic Convexity by Positive Operators

Journal of mathematical sciences (New York, N.Y.), 2016-03, Vol.213 (4), p.504-509

2016

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On the norms of generalized translation operators generated by the jacobi-dunkl operators

Journal of mathematical sciences (New York, N.Y.), 2012-05, Vol.182 (5), p.603-616

Vinogradov, O. L.

2012

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Estimates of functionals by deviations of Steklov type averages generated by Dunkl type operators

Journal of mathematical sciences (New York, N.Y.), 2012-07, Vol.184 (4), p.431-456

Vinogradov, O. L.

2012

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Order of approximation by partial Hausdorff integrals

Structural characterization of deviations of quasi-projectors on the real line

Nonsaturated Estimates of the Kotelnikov Formula Error

Logarithmically Absolutely Monotone Trigonometric Functions

On the Rate of Decay of a Meyer Scaling Function

Analogs of the Riesz Identity, and Sharp Inequalities for Derivatives and Differences of Splines in the Integral Metric

On Constants in Estimates of Approximations by Entire Functions of Exponential Type in Terms of Moduli of Continuity of Derivatives

Strengthening of Kolmogorov Type Inequalities for Derivatives and Differences

Analog of the Riesz Identity and Sharp Inequalities for Derivatives and Differences of Splines in the Uniform Metric

Sharp Bernstein Type Inequalities for Splines in the Mean Square Metrics

Estimates of functionals by generalized modul of continuity generated by the dunkl operators

Improvement of Jackson Type Inequalities for Moduli of Continuity of Order 4, 6, 8

Zeros of the Zak Transform of averaged totally positive functions

Estimates of Moments of Deviations of the Riesz Averages and Applications to Jackson Type Inequalities

Sharp Estimates of Linear Approximations by Nonperiodic Splines in Terms of Linear Combinations of Moduli of Continuity

Explicit Two-Sided Estimates for Norms of Strong Fejér–Jacobi Sums with Exponent at Most Two

Sharp estimates of best approximations by deviations of Weierstrass-type integrals

Application of the Liouville–Steklov Method to Estimation of Error of a Hilb Type Formula for Jacobi Polynomials

Explicit Error Estimate for a Darboux type Formula with Jacobi Polynomials

Sharp estimates of best approximations in terms of holomorphic functions of weierstrass-type operators

A Nonperiodic Spline Analog of the Akhiezer–Krein–Favard Operators

On the norms of generalized translation operators generated by Dunkl type operators

Preservation of Logarithmic Convexity by Positive Operators

On the norms of generalized translation operators generated by the jacobi-dunkl operators

Estimates of functionals by deviations of Steklov type averages generated by Dunkl type operators

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