Results 11 to 20 of about 9,566 (254)
Some bivariate Durrmeyer operators based on q-integers [PDF]
Journal of Mathematical Inequalities, 2017 Summary: In the present paper we introduce a \(q\)-analogue of the bivariate Durrmeyer operators. A convergence theorem for these operators is established and the rate of convergence in terms of modulus of continuity is determined. Also, a Voronovskaja type theorem has been investigated for these operators.
Bărbosu, Dan +2 more
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Resonance between the Representation Function and Exponential Functions over Arithemetic Progression
Journal of Mathematics, 2021 Let rn denote the number of representations of a positive integer n as a sum of two squares, i.e., n=x12+x22, where x1 and x2 are integers. We study the behavior of the exponential sum twisted by rn over the arithmetic progressions ∑n∼Xn≡lmodqrneαnβ ...
Li Ma, Xiaofei Yan
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Towards quantized complex numbers: $q$-deformed Gaussian integers and the Picard group [PDF]
Open Communications in Nonlinear Mathematical Physics, 2021 This work is a first step towards a theory of "$q$-deformed complex numbers". Assuming the invariance of the $q$-deformation under the action of the modular group I prove the existence and uniqueness of the operator of translations by~$i$ compatible with
Valentin Ovsienko
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A note on type 2 q-Bernoulli and type 2 q-Euler polynomials
Journal of Inequalities and Applications, 2019 As is well known, power sums of consecutive nonnegative integers can be expressed in terms of Bernoulli polynomials. Also, it is well known that alternating power sums of consecutive nonnegative integers can be represented by Euler polynomials.
Dae San Kim +3 more
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Some approximation results on Bernstein-Schurer operators defined by (p,q)-integers (Revised) [PDF]
, 2015 In the present article, we have given a corrigendum to our paper "Some approximation results on Bernstein-Schurer operators defined by (p,q)-integers" published in Journal of In- equalities and Applications (2015) 2015:249.Comment: 11 pages, operator re ...
Mursaleen, M. +2 more
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Rational Operators Based on q-Integers
Results in Mathematics, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Amato Umberto, Della Vecchia Biancamaria
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A curious polynomial interpolation of Carlitz-Riordan's $q$-ballot numbers [PDF]
, 2013 We study a polynomial sequence $C_n(x|q)$ defined as a solution of a $q$-difference equation. This sequence, evaluated at $q$-integers, interpolates Carlitz-Riordan's $q$-ballot numbers.
Chapoton, Frédéric, Zeng, Jiang
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Convergence of λ-Bernstein operators based on (p, q)-integers [PDF]
Journal of Inequalities and Applications, 2020 AbstractIn the present paper, we construct a new class of positive linearλ-Bernstein operators based on (p,q)-integers. We obtain a Korovkin type approximation theorem, study the rate of convergence of these operators by using the conception ofK-functional and moduli of continuity, and also give a convergence theorem for the Lipschitz continuous ...
Qing-Bo Cai, Wen-Tao Cheng
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The Numerical Evaluation Methods for Beta Function
Süleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2022 In this study, the beta function that is encountered in computational mathematics and physics is analyzed. The correct evaluation of this function also affects the accuracy of other mathematical functions in quantum mechanical calculations. Especially in
Sılay Aytaç Yükçü
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Uniform approximation by polynomials with integer coefficients [PDF]
Opuscula Mathematica, 2016 Let \(r\), \(n\) be positive integers with \(n\ge 6r\). Let \(P\) be a polynomial of degree at most \(n\) on \([0,1]\) with real coefficients, such that \(P^{(k)}(0)/k!\) and \(P^{(k)}(1)/k!\) are integers for \(k=0,\dots,r-1\).
Artur Lipnicki
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