Results 1 to 10 of about 3,124,594 (207)
Rational Operators Based on q-Integers [PDF]
Results in Mathematics, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
U. Amato, B. Della Vecchia
semanticscholar +4 more sources
Statistical approximation properties of λ-Bernstein operators based on q-integers [PDF]
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 ...
Guorong Zhou, Qing-Bo Cai, Junjie Li
exaly +4 more sources
On the least common multiple of random q-integers [PDF]
Research in Number Theory, 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
semanticscholar +6 more sources
A new type of Szász–Mirakjan operators based on q-integers
Journal of Inequalities and Applications, 2023 In this article, by using the notion of quantum calculus, we define a new type Szász–Mirakjan operators based on the q -integers. We derive a recurrence formula and calculate the moments Φ n , q ( t m ; x ) $\Phi _{n,q}(t^{m};x)$ for m = 0 , 1 , 2 $m=0,1,
P. Sabancigil +2 more
semanticscholar +4 more sources
A new generalization of Leonardo hybrid numbers with q-integers
Indian Journal of Pure and Applied Mathematics, 2023 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hayrullah Özimamoğlu
semanticscholar +3 more sources
Convergence of λ-Bernstein operators based on (p, q)-integers [PDF]
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 +3 more sources
Ibragimov–Gadjiev operators based on q-integers [PDF]
Advances in Difference Equations, 2018 In this paper, we define the q-analogue of the generalized linear positive operators introduced by Ibragimov and Gadjiev in 1970. We study some approximation properties of these new operators, and we show that this sequence of operators is a ...
Serap Herdem, Ibrahim Büyükyazıcı
doaj +2 more sources
Szász-Baskakov type operators based on q-integers [PDF]
Journal of Inequalities and Applications, 2014 In the present paper, we introduce the q-analog of the Stancu variant of Szász-Baskakov operators. We establish the moments of the operators by using the q-derivatives and then prove the basic convergence theorem.
P. Agrawal, H. Karsli, Meenu Goyal
semanticscholar +4 more sources
Statistics on Lattice Walks and q-Lassalle Numbers [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 This paper contains two results. First, I propose a $q$-generalization of a certain sequence of positive integers, related to Catalan numbers, introduced by Zeilberger, see Lassalle (2010).
Lenny Tevlin
doaj +3 more sources
Bivariate-Schurer-Stancu operators based on (p;q)-integers [PDF]
Filomat, 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
semanticscholar +4 more sources