Operators constructed by means of q-Lagrange polynomials and A-statistical approximation

M. Mursaleen; Asif Khan; H. M. Srivastava; K. S. Nisar

doi:10.1016/j.amc.2013.01.028

Operators constructed by means of q-Lagrange polynomials and A-statistical approximation

M. Mursaleen
, Asif Khan
, H. M. Srivastava
, K. S. Nisar

Research output: Contribution to journal › Article › peer-review

50 Scopus citations

Abstract

In this paper we construct some positive linear operators by means of q-Lagrange polynomials and prove some approximation results via A-statistical convergence. We also define and study the rate of A-statistical approximation of these operators by using the notion of modulus of continuity and Lipschitz class.

Original language	English
Pages (from-to)	6911-6918
Number of pages	8
Journal	Applied Mathematics and Computation
Volume	219
Issue number	12
DOIs	https://doi.org/10.1016/j.amc.2013.01.028
State	Published - 2013
Externally published	Yes

Keywords

A-statistical convergence
Chan-Chyan-Srivastava polynomial
Lagrange polynomial
Lipschitz class
Modulus of continuity
Positive linear operators
q-Lagrange polynomial
Rate of A-statistical convergence

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10.1016/j.amc.2013.01.028

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title = "Operators constructed by means of q-Lagrange polynomials and A-statistical approximation",

abstract = "In this paper we construct some positive linear operators by means of q-Lagrange polynomials and prove some approximation results via A-statistical convergence. We also define and study the rate of A-statistical approximation of these operators by using the notion of modulus of continuity and Lipschitz class.",

keywords = "A-statistical convergence, Chan-Chyan-Srivastava polynomial, Lagrange polynomial, Lipschitz class, Modulus of continuity, Positive linear operators, q-Lagrange polynomial, Rate of A-statistical convergence",

author = "M. Mursaleen and Asif Khan and Srivastava, \{H. M.\} and Nisar, \{K. S.\}",

year = "2013",

doi = "10.1016/j.amc.2013.01.028",

language = "English",

volume = "219",

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journal = "Applied Mathematics and Computation",

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T1 - Operators constructed by means of q-Lagrange polynomials and A-statistical approximation

AU - Mursaleen, M.

AU - Khan, Asif

AU - Srivastava, H. M.

AU - Nisar, K. S.

PY - 2013

Y1 - 2013

N2 - In this paper we construct some positive linear operators by means of q-Lagrange polynomials and prove some approximation results via A-statistical convergence. We also define and study the rate of A-statistical approximation of these operators by using the notion of modulus of continuity and Lipschitz class.

AB - In this paper we construct some positive linear operators by means of q-Lagrange polynomials and prove some approximation results via A-statistical convergence. We also define and study the rate of A-statistical approximation of these operators by using the notion of modulus of continuity and Lipschitz class.

KW - A-statistical convergence

KW - Chan-Chyan-Srivastava polynomial

KW - Lagrange polynomial

KW - Lipschitz class

KW - Modulus of continuity

KW - Positive linear operators

KW - q-Lagrange polynomial

KW - Rate of A-statistical convergence

UR - https://www.scopus.com/pages/publications/84873964479

U2 - 10.1016/j.amc.2013.01.028

DO - 10.1016/j.amc.2013.01.028

M3 - Article

AN - SCOPUS:84873964479

SN - 0096-3003

VL - 219

SP - 6911

EP - 6918

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 12

ER -

Operators constructed by means of q-Lagrange polynomials and A-statistical approximation

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Keywords

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