Approximation of positive functions by linear positive polynomial operators

descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Other literature type 01 Jan 2012 English Publisher:Springer Basel

Authors: Lev A. Sakhnovich;

doi: 10.1007/978-3-0348-0356-4_3

Approximation of positive functions by linear positive polynomial operators

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Abstract

The class of continuous 2π-periodical functions f(x) which satisfy the inequality \( |f(x+h)+f(x-h)-2f(x)|\leq 2|h|^\alpha \,\,\,\,\, 0 < \alpha < 2 \)is denoted by Zα.

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