Linear positive operators constructed by using Beta-type bases

Year 2020, Volume: 49 Issue: 3, 1030 - 1038, 02.06.2020

Octavian Agratını

https://doi.org/10.15672/hujms.549015

Abstract

Starting from a discrete linear approximation process that has the ability to turn polynomials into polynomials of the same degree, we introduce an integral generalization by using Beta-type bases. Some properties of this new sequence of operators are investigated in unweighted and weighted spaces of functions defined on unbounded interval. In our construction particular cases are outlined.

Keywords

Korovkin theorem, modulus of smoothness, weighted space, rate of convergence

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