Deferred statistical convergence and power summability method for q-Laguerre polynomials operator Article Swipe

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P. N. Agrawal , Behar Baxhaku , Sompal Singh ·

YOU? · · 2022 · Open Access · · DOI: https://doi.org/10.7153/jmi-2022-16-68

In the present article, we discuss the Korovkin type approximation thereoms and the rate of convergence with the aid of the modulus of continuity using deferred statistical convergence and the power series summability technique for an operator based on q -Laguerre polynomials introduced by Özarslan (Studia Sci.Math.Hungar., 44 (1), 65-80).We also define the r -th order generalization of these operators by means of the Taylor polynomial to approximate functions in f ∈ C r [0,1] such that f (r) ∈ Lip K α , 0 < α 1 .Furthermore, we find an estimate of the rate of convergence of the q -Laguerre operator acting on f at those points x where the one sided q -derivatives D + q f and D - q f exist.

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Laguerre polynomials Mathematics Operator (biology) Convergence (economics) Power (physics) Laguerre's method Orthogonal polynomials Applied mathematics Classical orthogonal polynomials Pure mathematics Gene Economics Repressor Transcription factor Biochemistry Economic growth Chemistry Quantum mechanics Physics

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Type: article
Language: en
Landing Page: https://doi.org/10.7153/jmi-2022-16-68
PDF: http://files.ele-math.com/abstracts/jmi-16-68-abs.pdf
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DOI: https://doi.org/10.7153/jmi-2022-16-68

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Title: Deferred statistical convergence and power summability method for q-Laguerre polynomials operator

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Language: en

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Publication year: 2022

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Authors: P. N. Agrawal, Behar Baxhaku, Sompal Singh

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Concepts: Laguerre polynomials, Mathematics, Operator (biology), Convergence (economics), Power (physics), Laguerre's method, Orthogonal polynomials, Applied mathematics, Classical orthogonal polynomials, Pure mathematics, Gene, Economics, Repressor, Transcription factor, Biochemistry, Economic growth, Chemistry, Quantum mechanics, Physics

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Cited by: 3

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