Results 31 to 40 of about 8,450 (282)
Bivariate-Schurer-Stancu operators based on (p,q)-integers
Filomat, 2018 The aim of this article is to introduce a bivariate extension of Schurer-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 approximation via second order modulus of smoothness, Peetre?s K-functional, Lipschitz
Rao, Nadeem, Wafi, Abdul
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On convergence properties of gamma-Stancu operators based on q-integers [PDF]
Mathematical Inequalities & Applications, 2016 In this paper, the authors introduce a Stancu type generalization of the gamma operators based on \(q\)-integers. They estimate local approximation theorems for these operators.and also study weighted approximation properties along with Voronovskaya type result.
ÖRKCÜ, MEDİHA, Dalmanoglu, Ozge
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On Approximation Properties of Gamma Type Operator Based on (p,q)-İnteger
Afyon Kocatepe University Journal of Sciences and Engineering, 2022 In the literature; extensive work on the q and (p,q)-calculus has contributed greatly to describing the different generalizations of many operators involving the q and (p,q)-integers. In this study, we will present to you, that we define Gamma type operator based on (p,q)-integer.
Ümit Karabıyık
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A generalization of the q-Lidstone series
AIMS Mathematics, 2022 In this paper, we study the existence of solutions for the general $ q $-Lidstone problem: $ \begin{equation*} (D_{q^{-1}}^{r_n}f)(1) = a_n, \quad (D_{q^{-1}}^{s_n}f)(0) = b_n, \quad (n\in \mathbb{N}) \end{equation*} $ where $ (r_n)_n $ and ...
Maryam AL-Towailb
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New families of Fibonacci and Lucas octonions with $$Q-$$integer components
Indian Journal of Pure and Applied Mathematics, 2021 In this paper, authors presented $q$-Fibonacci octonions and $q$-Lucas octonions. These elements are defined by using $q$-integers. They found some interesting properties of these elements such as Binet formulas, exponential generating functions, summation formulas, Cassini identities, Catalan identities and d'Ocagne identities.
Can Kızılateş, Emrah Polatlı
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Hyper Relative Order (p, q) of Entire Functions
Annals of the West University of Timisoara: Mathematics and Computer Science, 2017 After the works of Lahiri and Banerjee [6] on the idea of relative order (p, q) of entire functions, we introduce in this paper hyper relative order (p, q) of entire functions where p, q are positive integers with p>q and prove sum theorem, product ...
Banerjee Dibyendu, Batabyal Saikat
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A new type of Szász–Mirakjan operators based on q-integers
Journal of Inequalities and Applications, 2023 AbstractIn 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 $\Phi _{n,q}(t^{m};x)$ Φ n , q
Pembe Sabancigil +2 more
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A Note on the q-Euler Measures
Advances in Difference Equations, 2009 Properties of q-extensions of Euler numbers and polynomials which generalize those satisfied by Ek and Ek(x) are used to construct q-extensions of p-adic Euler measures and define p-adic q-ℓ-series which interpolate q-Euler numbers at negative ...
Taekyun Kim +2 more
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Minimal irreducible solvable subgroups of the group GL(q,{Z}_{p})
Науковий вісник Ужгородського університету. Серія: Математика і інформатика, 2018 All minimal irreducible solvable subgroups of the group GL(q,{Z}_{p}) (q is a prime, {Z}_{p} is the ring of rational $p$-adic integers) are described up to conjugation for p ...
О. А. Кирилюк
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On certain GBS-Durrmeyer operators based on $q$-integers
TURKISH JOURNAL OF MATHEMATICS, 2017 Summary: In the present paper we introduce the GBS (Generalized Boolean Sum) operators of Durrmeyer type based on \(q\)-integers and the approximation of B-continuous functions using the above operators is studied. In addition, a uniform convergence theorem is established and the degree of approximation in terms of mixed modulus of continuity is ...
Băbosu, Dan +2 more
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