[图书][B] Convergence estimates in approximation theory

V Gupta, RP Agarwal - 2014 - Springer
The aim of the general approximation methods concerning linear positive operators is to
deal with convergence behavior. The accuracy can be ascertained to a desired degree by …

[图书][B] Moments of linear positive operators and approximation

V Gupta, MT Rassias - 2019 - Springer
Moments of Linear Positive Operators and Approximation deals with several problems
concerning positive linear operators. In Chaps. 1 and 2, we present—without proofs—a …

[图书][B] Approximation with positive linear operators and linear combinations

V Gupta, G Tachev - 2017 - Springer
Approximation of functions by positive linear operators is an important branch of the
approximation theory. To increase the order of approximation a useful tool is the method of …

Lupaş-Durrmeyer operators based on Pólya distribution

V Gupta, TM Rassias - Banach Journal of Mathematical Analysis, 2014 - projecteuclid.org
The generalization of the Bernstein polynomials based on Polya distribution is considered in
the present article. Here, we introduce a mixed summation-integral type operators having …

[图书][B] Computation and approximation

V Gupta, MT Rassias - 2021 - Springer
The concept of approximation concerning positive and linear operators was initiated with the
two well-known results due to Weierstrass and Korovkin. During the last century, after the …

On approximation of Bernstein-Durrmeyer operators in movable interval.

F Wang, D Yu, B Zhang - Mathematical Foundations of …, 2022 - search.ebscohost.com
ON APPROXIMATION OF BERNSTEIN-DURRMEYER OPERATORS IN MOVABLE INTERVAL
Fengfeng Wang, Dansheng Yu and Bin Zhang (Communicated by Page 1 Mathematical …

Faster rate of convergence on Srivastava–Gupta operators

N Deo - Applied Mathematics and Computation, 2012 - Elsevier
In this paper, we consider a modification of Srivastava–Gupta operators, which is a general
sequence of summation-integral operators. We are able to achieve faster convergence for …

On approximation by a class of new Bernstein type operators

N Deo, MA Noor, MA Siddiqui - Applied mathematics and computation, 2008 - Elsevier
This paper is concerned with a new type of the classical Bernstein operators where the
function is evaluated at intervals [0, 1-1n+ 1]. We also make extensive study simultaneous …

Convergence in simultaneous approximation for Srivastava-Gupta operators

DK Verma, PN Agrawal - Mathematical Sciences, 2012 - Springer
Purpose The purpose of the present paper is to introduce the generalized form of Srivastava-
Gupta operators and study their approximation properties. Methods We use analytical …

Two families of Bernstein–Durrmeyer type operators

D Cárdenas-Morales, V Gupta - Applied Mathematics and Computation, 2014 - Elsevier
This paper deals with two families of Bernstein–Durrmeyer type operators that arise as
integral modifications respectively from the classical Bernstein operators and from Bernstein …