Results 11 to 20 of about 218 (81)
Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 In this article, we introduce Stancu‐type modification of generalized Baskakov‐Szász operators. We obtain recurrence relations to calculate moments for these new operators. We study several approximation properties and q‐statistical approximation for these operators.
Qing-Bo Cai +3 more
wiley +1 more source
Approximation by Jakimovski–Leviatan-beta operators in weighted space
Advances in Difference Equations, 2020 The main purpose of this article is to introduce a more generalized version of Jakimovski–Leviatan-beta operators through the Appell polynomials. We present some uniform convergence results of these operators via Korovkin’s theorem and obtain the rate of
M. Nasiruzzaman, M. Mursaleen
doaj +1 more source
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 We construct a novel family of summation‐integral‐type hybrid operators in terms of shape parameter α ∈ [0,1] in this paper. Basic estimates, rate of convergence, and order of approximation are also studied using the Korovkin theorem and the modulus of smoothness.
Ming-Yu Chen +5 more
wiley +1 more source
Gamma variant of (p, q) -Bernstein type novel operators [PDF]
Journal of HyperstructuresIn this paper, we are concerned with a new modification of the well-known (p;q)-Bernstein novel type operators with the gamma integral functions. The direct results demonstrate several aspects of approximations.
Narendra Kurre
doaj +1 more source
A note on the convergence of Phillips operators by the sequence of functions via q-calculus
Demonstratio Mathematica, 2022 The basic aim of this study is to include nonnegative real parameters to allow for approximation findings of the Stancu variant of Phillips operators.
Kiliçman Adem +2 more
doaj +1 more source
Nonlinear Bivariate Bernstein–Chlodowsky Operators of Maximum Product Type
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 The positive nonlinear operators with maximum and product were introduced by Bede. In this study, nonlinear maximum product type of bivariate Bernstein–Chlodowsky operators is defined and the approximation properties are investigated with the help of new definitions.
Özge Özalp Güller +3 more
wiley +1 more source
Approximation Properties of a New Gamma Operator
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 This paper deals with a kind of modification of the classical Gamma operators defined on the semiaxis which holds fixed functions 1 and e−μx (μ > 0). We study the uniform approximation effect and the direct results. We also investigate the weighted A‐statistical convergence. Finally, the Voronovskaja type asymptotic formula is given.
Jieyu Huang +2 more
wiley +1 more source
Approximation Properties of a New Type of Gamma Operator Defined with the Help of k‐Gamma Function
Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 With the help of the k‐Gamma function, a new form of Gamma operator is given in this article. Voronovskaya type theorem, weighted approximation, rates of convergence, and pointwise estimates have been found for approximation features of the newly described operator.
Gurhan Icoz, Seda Demir, Yusuf Gurefe
wiley +1 more source
Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021 In this article, our main purpose is to define the (p, q)‐variant of Szász‐Durrmeyer type operators with the help of Dunkl generalization generated by an exponential function. We estimate moments and establish some direct results of the aforementioned operators. Moreover, we establish some approximation results in weighted spaces.
Abdullah Alotaibi, Tuncer Acar
wiley +1 more source
Approximation by Müntz spaces on positive intervals [PDF]
, 2013 International audienceThe so-called Bernstein operators were introduced by S.N. Bernstein in 1912 to give a constructive proof of Weierstrass' theorem.
Ait-Haddou, Rachid +1 more
core +4 more sources