Rate of convergence of non-positive generalized convolution type operators

Abstract

A sequence of non-positive generalized convolution type linear operators is introduced. The rate of convergence of this sequence to the unit operator is given through sharply attained inequalities in several cases. These inequalities simplify greatly under concavity. A related Korovkin type theorem is given at the end. © 1989.

Publication Title

Journal of Mathematical Analysis and Applications

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