0000000000033363
AUTHOR
Purshottam Narain Agrawal
showing 10 related works from this author
Jakimovski–Leviatan operators of Kantorovich type involving multiple Appell polynomials
2019
Abstract The purpose of the present paper is to obtain the degree of approximation in terms of a Lipschitz type maximal function for the Kantorovich type modification of Jakimovski–Leviatan operators based on multiple Appell polynomials. Also, we study the rate of approximation of these operators in a weighted space of polynomial growth and for functions having a derivative of bounded variation. A Voronvskaja type theorem is obtained. Further, we illustrate the convergence of these operators for certain functions through tables and figures using the Maple algorithm and, by a numerical example, we show that our Kantorovich type operator involving multiple Appell polynomials yields a better r…
Bivariate Grüss-Type Inequalities for Positive Linear Operators
2018
Baskakov‐Durrmeyer type operators involving generalized Appell Polynomials
2019
Moment Generating Functions and Central Moments
2018
This section deals with the moment generating functions (m.g.f.) up to sixth order of some discretely defined operators. We mention the m.g.f. and express them in expanded form to obtain moments, which are important in the theory of approximation relevant to problems of convergence.
Approximation Properties of the Modified Stancu Operators
2017
ABSTRACTIn this article we construct a sequence of Stancu-type operators that are based on a function τ. This function is any function on [0,1] continuously differentiable ∞ times, such that τ(0) =...
Univariate Grüss- and Ostrowski-Type Inequalities for Positive Linear Operators
2018
Convergence of GBS Operators
2018
In [59, 60], Bogel introduced a new concept of Bogel-continuous and Bogel-differentiable functions and also established some important theorems using these concepts. Dobrescu and Matei [80] showed the convergence of the Boolean sum of bivariate generalization of Bernstein polynomials to the B-continuous function on a bounded interval. Subsequently, Badea and Cottin [46] obtained Korovkin theorems for GBS operators.