Fractional Trigonometric Korovkin Theory via Statistical Convergence with Respect to Power Series Method
Chapter from the book: Gürbüz, F. (ed.) 2023. Academic Researches in Mathematics and Science.

Nurefşan Sultan Ural
Bilecik Şeyh Edebali University
Tuğba Yurdakadim
Bilecik Şeyh Edebali University

Synopsis

In approximation theory, Korovkin-type theorems are well used since they provide us to determine the uniform convergence of positive linear operators to identity by using only three functions {1, x, x²}. They have been investigated in different function spaces, generally, by using different concepts of convergences, by using -calculus and rarely fractional calculus. In this chapter,  by fractional calculus which is a branch of analysis dealing with derivatives and integrals of arbitrary order, fractional Korovkin-type trigonometric approximation results will be presented via -statistical convergence which depends on a power series method. Also, as an application of our theorems various type examples will be constructed.

How to cite this book

Ural, N. S. & Yurdakadim, T. (2023). Fractional Trigonometric Korovkin Theory via Statistical Convergence with Respect to Power Series Method. In: Gürbüz, F. (ed.), Academic Researches in Mathematics and Science. Özgür Publications. DOI: https://doi.org/10.58830/ozgur.pub132.c614

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Published

June 22, 2023

DOI