A characterization of weighted approximations by the Post–Widder and the Gamma operators, II

Abstract

We present a characterization of the approximation errors of the Post-Widder and the Gamma operators in L p (0, ∞), 1 ≤ p ≤ ∞, with a weight x γ 0 (1 + x) γ ∞ −γ 0 with arbitrary real γ 0 , γ ∞ . Characteristics of two types are used -weighted K -functionals of the approximated function itself and the classical fixedstep moduli of smoothness taken on simple modifications of it.

Approximation Properties ofλ-Gamma Operators Based onq-Integers

“…We can learn some properties of Gamma operators and their modified operators in [2][3][4][5][6][7]. In [8], Qi et al defined new Gamma operators as follows:…”