Results 1 to 10 of about 44 (40)

Rate of convergence by Kantorovich-Szász type operators based on Brenke type polynomials [PDF]

Journal of Inequalities and Applications, 2017
The present paper deals with the approximation properties of the univariate operators which are the generalization of the Kantorovich-Szász type operators involving Brenke type polynomials.
Tarul Garg, Purshottam Narain Agrawal, Serkan Araci   +2 more
doaj   +2 more sources

The approximation of bivariate Chlodowsky-Szász-Kantorovich-Charlier-type operators [PDF]

Journal of Inequalities and Applications, 2017
In this paper, we introduce a bivariate Kantorovich variant of combination of Szász and Chlodowsky operators based on Charlier polynomials. Then, we study local approximation properties for these operators.
Purshottam Narain Agrawal, Behar Baxhaku, Ruchi Chauhan   +2 more
doaj   +2 more sources

On modified Dunkl generalization of Szász operators via q-calculus [PDF]

Journal of Inequalities and Applications, 2017
The purpose of this paper is to introduce a modification of q-Dunkl generalization of exponential functions. These types of operators enable better error estimation on the interval [ 1 2 , ∞ ) $[\frac{1}{2},\infty)$ than the classical ones.
M Mursaleen, Md Nasiruzzaman, Abdullah Alotaibi   +2 more
doaj   +2 more sources

On the rate of convergence of modified \(\alpha\)-Bernstein operators based on q-integers

Journal of Numerical Analysis and Approximation Theory, 2022
In the present paper we define a q-analogue of the modified a-Bernstein operators introduced by Kajla and Acar (Ann. Funct. Anal. 10 (4) 2019, 570-582). We study uniform convergence theorem and the Voronovskaja type asymptotic theorem.
Purshottam Agrawal, Dharmendra Kumar, Behar Baxhaku   +2 more
doaj   +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

On Shape Parameter α-Based Approximation Properties and q-Statistical Convergence of Baskakov-Gamma Operators

Journal of Mathematics, 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 ...
Ming-Yu Chen, Md Nasiruzzaman, Mohammad Ayman Mursaleen, Nadeem Rao, Adem Kilicman   +4 more
doaj   +1 more source

A Note on Approximation of Blending Type Bernstein–Schurer–Kantorovich Operators with Shape Parameter α

Journal of Mathematics, 2023
The objective of this paper is to construct univariate and bivariate blending type α-Schurer–Kantorovich operators depending on two parameters α∈0,1 and ρ>0 to approximate a class of measurable functions on 0,1+q,q>0.
Mohammad Ayman-Mursaleen, Nadeem Rao, Mamta Rani, Adem Kilicman, Ahmed Ahmed Hussin Ali Al-Abied, Pradeep Malik   +5 more
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Stancu-Type Generalized q-Bernstein–Kantorovich Operators Involving Bézier Bases

Mathematics, 2022
We construct the Stancu-type generalization of q-Bernstein operators involving the idea of Bézier bases depending on the shape parameter −1≤ζ≤1 and obtain auxiliary lemmas.
Wen-Tao Cheng, Md Nasiruzzaman, Syed Abdul Mohiuddine   +2 more
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, Ayman-Mursaleen Mohammad, Nasiruzzaman Md.   +2 more
doaj   +1 more source

Gamma variant of (p, q) -Bernstein type novel operators [PDF]

Journal of Hyperstructures
In 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