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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Convergence of λ-Bernstein operators based on (p, q)-integers
Journal of Inequalities and Applications, 2020 In the present paper, we construct a new class of positive linear λ-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 of K-functional ...
Qingbo Cai, Wen-Tao Cheng
semanticscholar +1 more source
On the least common multiple of random q-integers [PDF]
, 2020 For every positive integer n and for every $$\alpha \in [0, 1]$$ α ∈ [ 0 , 1 ] , let $${\mathcal {B}}(n, \alpha )$$ B ( n , α ) denote the probabilistic model in which a random set $${\mathcal {A}} \subseteq \{1, \ldots , n\}$$ A ⊆ { 1 , … , n } is ...
C. Sanna
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Factors of Sums and Alternating Sums of Products of $q$-binomial Coefficients and Powers of $q$-integers [PDF]
Taiwanese journal of mathematics, 2017 We prove that, for all positive integers $n_1, \ldots, n_m$, $n_{m+1}=n_1$, and non-negative integers $j$ and $r$ with $j\leqslant m$, the following two expressions \begin{align*} &\frac{1}{[n_1+n_m+1]}{n_1+n_{m}\brack n_1}^{-1}\sum_{k=0}^{n_1} q^{j(k^2 ...
Victor J. W. Guo, Su‐Dan Wang
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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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Bivariate-Schurer-Stancu operators based on (p;q)-integers [PDF]
, 2016 The aim of this article is to introduce a bivariate extension of Shurer-Stancu operators based on (p q)integers. We prove uniform approximation by means of Bohman Korovkin type theorem rate of convergence using total modulus of smoothness and degree of ...
A. Wafi, N. Rao
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Statistical approximation properties of Stancu type q-Baskakov-Kantorovich operators [PDF]
, 2016 In the present paper, we consider Stancu type generalization of Baskakov-Kantorovich operators based on the q-integers and obtain statistical and weighted statistical approximation properties of these operators.
Jain, Dilip +3 more
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Statistical approximation properties of λ-Bernstein operators based on q-integers
Open Mathematics, 2019 In this paper, we introduce a new generalization of λ-Bernstein operators based on q-integers, we obtain the moments and central moments of these operators, establish a statistical approximation theorem and give an example to show the convergence of ...
Qingbo Cai, Guorong Zhou, Junjie Li
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A note on the values of the weighted q-Bernstein polynomials and modified q-Genocchi numbers with weight alpha and beta via the p-adic q-integral on Zp [PDF]
, 2012 The rapid development of q-calculus has led to the discovery of new generalizations of Bernstein polynomials and Genocchi polynomials involving q-integers.
DS Kim +25 more
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Some approximation results on Bleimann-Butzer-Hahn operators defined by (p,q)-integers [PDF]
, 2015 In this paper, we introduce a generalization of the Bleimann-Butzer-Hahn operators based on (p,q)-integers and obtain Korovkin's type approximation theorem for these operators.
M. Mursaleen +3 more
semanticscholar +1 more source