Rate of Convergence of a Composition Operator

Document Type : Original Article

Authors

Vijay Gupta ¹

Harun Karsli ²

¹ Department of Mathematics‎, ‎Netaji Subhas University of Technology‎, ‎Sector 3 Dwarka‎, ‎New Delhi‎, ‎India

² Department of Mathematics‎, ‎Bolu Abant Izzet Baysal University‎, ‎14030‎, ‎Golkoy-Bolu‎, ‎Turkey

10.22034/kjm.2025.530498.3585

Abstract

Very recently some composition operators were introduced by means of Laguerre polynomials. Here we extend the results of Gupta  by establishing some of the direct estimates for such operators on [0,∞). Moreover, we introduce a new version of these operators that preserves linear functions and in comparison to their original version, has better approximation outcomes on [α+2,∞)(α > −1).

Keywords

Composition operator

Laguerre polynomials

moments

asymptotic expansions

Subjects

• 41 Approximations and expansions

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