Rate of Convergence in Simultaneous Approximation

2014 ◽  
pp. 313-343 ◽  
Author(s):  
Vijay Gupta ◽  
Ravi P. Agarwal
Keyword(s):  
Rate Of Convergence ◽  
Simultaneous Approximation

Iterative combinations for Srivastava–Gupta operators

2020 ◽  
pp. 2150108
Author(s):  
Prerna Maheshwari Sharma
Keyword(s):  
Rate Of Convergence ◽  
Modulus Of Continuity ◽  
Simultaneous Approximation ◽  
Higher Order ◽  
Positive Operators ◽  
Integral Type ◽  
Linear Positive Operators ◽  
General Family ◽  
Special Cases

In the year 2003, Srivastava–Gupta proposed a general family of linear positive operators, having some well-known operators as special cases. They investigated and established the rate of convergence of these operators for bounded variations. In the last decade for modified form of Srivastava–Gupta operators, several other generalizations also have been discussed. In this paper, we discuss the generalized modified Srivastava–Gupta operators considered in [H. M. Srivastava and V. Gupta, A certain family of summation-integral type operators, Math. Comput. Modelling 37(12–13) (2003) 1307–1315], by using iterative combinations in ordinary and simultaneous approximation. We may have better approximation in higher order of modulus of continuity for these operators.

scholarly journals Simultaneous Approximation for Generalized Srivastava-Gupta Operators

2015 ◽  
Vol 2015 ◽  
pp. 1-11 ◽  
Author(s):  
Tuncer Acar ◽  
Lakshmi Narayan Mishra ◽  
Vishnu Narayan Mishra
Keyword(s):  
Rate Of Convergence ◽  
Bounded Variation ◽  
Simultaneous Approximation ◽  
Integrable Functions ◽  
Derivatives Of

We introduce a new Stancu type generalization of Srivastava-Gupta operators to approximate integrable functions on the interval0,∞and estimate the rate of convergence for functions having derivatives of bounded variation. Also we present simultenaous approximation by new operators in the end of the paper.

scholarly journals Generalized Baskakov Kantorovich operators

Filomat ◽  
2017 ◽  
Vol 31 (19) ◽  
pp. 6131-6151
Author(s):  
P.N. Agrawal ◽  
Meenu Goyal
Keyword(s):  
Rate Of Convergence ◽  
Bounded Variation ◽  
Statistical Convergence ◽  
Simultaneous Approximation ◽  
Weighted Approximation ◽  
Function Of Bounded Variation ◽  
Convergence Properties ◽  
Almost Everywhere ◽  
Direct Results ◽  
Kantorovich Operators

In this paper, we construct generalized Baskakov Kantorovich operators. We establish some direct results and then study weighted approximation, simultaneous approximation and statistical convergence properties for these operators. Finally, we obtain the rate of convergence for functions having a derivative coinciding almost everywhere with a function of bounded variation for these operators.

Rate of Approximation for Certain Durrmeyer Operators

2006 ◽  
Vol 13 (2) ◽  
pp. 277-284 ◽  
Author(s):  
Vijay Gupta ◽  
Tengiz Shervashidze ◽  
Maria Craciun
Keyword(s):  
Rate Of Convergence ◽  
Simultaneous Approximation ◽  
Present Note ◽  
Bernstein Polynomials ◽  
Durrmeyer Operators ◽  
Rate Of Approximation ◽  
Type Integral

Abstract In the present note, we study a certain Durrmeyer type integral modification of Bernstein polynomials. We investigate simultaneous approximation and estimate the rate of convergence in simultaneous approximation.

scholarly journals Simultaneous approximation for the Phillips operators

2006 ◽  
Vol 2006 ◽  
pp. 1-9 ◽  
Author(s):  
N. K. Govil ◽  
Vijay Gupta ◽  
Muhammad Aslam Noor
Keyword(s):  
Rate Of Convergence ◽  
Bounded Variation ◽  
Simultaneous Approximation ◽  
Functions Of Bounded Variation ◽  
Decomposition Technique ◽  
Approximation Properties ◽  
Phillips Operators

We study the simultaneous approximation properties of the well-known Phillips operators. We establish the rate of convergence of the Phillips operators in simultaneous approximation by means of the decomposition technique for functions of bounded variation.

Approximation by k-th order modifications of Szász—Mirakyan operators

2016 ◽  
Vol 53 (3) ◽  
pp. 379-398 ◽  
Author(s):  
Tuncer Acar ◽  
Ali Aral ◽  
Ioan Raşa
Keyword(s):  
Rate Of Convergence ◽  
Simultaneous Approximation ◽  
Weighted Spaces ◽  
Approximation Properties ◽  
Explicit Formulas ◽  
Voronovskaya Theorem

In this paper, we study the k-th order Kantorovich type modication of Szász—Mirakyan operators. We first establish explicit formulas giving the images of monomials and the moments up to order six. Using this modification, we present a quantitative Voronovskaya theorem for differentiated Szász—Mirakyan operators in weighted spaces. The approximation properties such as rate of convergence and simultaneous approximation by the new constructions are also obtained.

Products of 2 × 2 stochastic matrices with random entries

1986 ◽  
Vol 23 (04) ◽  
pp. 1019-1024
Author(s):  
Walter Van Assche
Keyword(s):  
Rate Of Convergence ◽  
Beta Distribution ◽  
Stopping Time ◽  
Stochastic Matrices

The limit of a product of independent 2 × 2 stochastic matrices is given when the entries of the first column are independent and have the same symmetric beta distribution. The rate of convergence is considered by introducing a stopping time for which asymptotics are given.

The rate of convergence for quadratic forms

1997 ◽  
Vol 37 (3) ◽  
pp. 191-206
Author(s):  
A. Basalykas
Keyword(s):  
Rate Of Convergence ◽  
Quadratic Forms
Sign in / Sign up

Export Citation Format

Share Document