Results 31 to 40 of about 85 (74)

Generalized (p, q)‐Gamma‐type operators

Journal of Function Spaces, Volume 2020, Issue 1, 2020., 2020
In the present paper, the generalized (p, q)‐gamma‐type operators based on (p, q)‐calculus are introduced. The moments and central moments are obtained, and some local approximation properties of these operators are investigated by means of modulus of continuity and Peetre K‐functional.
Wen-Tao Cheng, Qing-Bo Cai, Syed Abdul Mohiuddine   +2 more
wiley   +1 more source

Product of deferred Cesàro and deferred weighted statistical probability convergence and its applications to Korovkin-type theorems

Universitas Scientiarum, 2020
In the present work, we introduce and study the notion of statistical probability convergence for sequences of random variables as well as the idea of statistical convergence for sequences of real numbers, which are defined over a Banach space via the product of deferred Cesàro and deferred weighted summability means.
Bidu Bhusan Jena, Susanta Kumar Paikray
openaire   +2 more sources

On approximation process by certain modified Dunkl generalization of Szasz-Beta type operators

, 2019
Karateke, Seda (Arel Author)In this paper, we give a generalization of the Szasz-Beta type operators generated by Dunkl generalization of exponential function and obtain convergence properties of these operators by using Korovkin's theorem and weighted ...
Atakut, Çiğdem, Büyükyazıcı, İbrahim, Karateke, Seda   +2 more
core   +1 more source

Korovkin type approximation theorems proved viaweighted αβ-equistatistical convergence for bivariate functions

Filomat, 2018
Statistical convergence was extended to weighted statistical convergence in [24], by using a sequence of real numbers sk, satisfying some conditions. Later, weighted statistical convergence was considered in [35] and [19] with modified conditions on sk. Weighted statistical convergence is an extension of statistical convergence in the sense
Aktuğlu, Hüseyin, Gezer, Halil
openaire   +3 more sources

Simultaneous approximation by neural network operators with applications to Voronovskaja formulas

Mathematische Nachrichten, Volume 298, Issue 3, Page 871-885, March 2025.
Abstract In this paper, we considered the problem of the simultaneous approximation of a function and its derivatives by means of the well‐known neural network (NN) operators activated by the sigmoidal function. Other than a uniform convergence theorem for the derivatives of NN operators, we also provide a quantitative estimate for the order of ...
Marco Cantarini, Danilo Costarelli
wiley   +1 more source

Approximation Properties of a New Class of Beta‐Type Szász–Mirakjan Operators

Journal of Mathematics, Volume 2025, Issue 1, 2025.
We use the new variant of Szász–Mirakjan operators to construct a generalized version of Szász‐beta type operators and obtain auxiliary lemmas. We present the weighted approximation theorems and, by using Peetre’s K‐function, the local approximation results of these operators are studied.
Md. Nasiruzzaman, Rubayyi T. Alqahtani, S. A. Mohiuddine, Ding-Xuan Zhou   +3 more
wiley   +1 more source

Approximation by q‐Post‐Widder Operators Based on a New Parameter

Abstract and Applied Analysis, Volume 2024, Issue 1, 2024.
The purpose of this paper is to introduce q‐Post–Widder operators based on a new parameter and study their approximation properties. The moments and central moments are investigated. And some local approximation properties of these operators by means of modulus of continuity and Peetre’s K‐functional are presented.
Qiu Lin, Rosanna Manzo
wiley   +1 more source

Approximation properties of modified Baskakov gamma operators

, 2022
Bu tez üç bölümden oluşmaktadır. Birinci bölüm giriş için ayrılmıştır ve konu ile ilgili genel bilgiler verilmiştir. İkinci bölümde tezde yararlanılacak bazı temel tanımlar ve teoremler verilmiştir. Baskakov ve Gamma operatörüne giriş yapılmıştır. Üçüncü
Erdoğan, Seda
core  

Statistical convergence of martingale difference sequence via deferred weighted mean and Korovkin-type theorems [PDF]

Miskolc Mathematical Notes, 2021
Jena, Bidu Bhusan, Paikray, Susanta Kumar   +1 more
openaire   +2 more sources

KOROVKIN TYPE APPROXIMATION THEOREMS IN WEIGHTED SPACES VIA POWER SERIES

, 2018
In this paper we consider power series method which is also member of the class of all continuous summability methods. We study a Korovkin type approximation theorem for a sequence of positive linear operators acting from a weighted space C-p1 into a weighted space B-p2 with the use of the power series method which includes both Abel and Borel methods.
Tas, E, Yurdakadim, T, Atlihan, OG
openaire   +1 more source