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Direct and strong converse inequalities for approximation with Fejér means

Bustamante Jorge

Demonstratio Mathematica

2020

Vol. 53, nr 1

80--85

We present upper and lower estimates of the error of approximation of periodic functions by Fejér means in the Lebesgue spaces Lp2π. The estimates are given in terms of a K-functional for 1≤p≤∞ and in terms of the first modulus of continuity in the case 1

Approximation properties of certain summation integral type operators

Patel P., Mishra V. N.

Demonstratio Mathematica

2015

Vol. 48, nr 1

77--90

In the present paper, we study approximation properties of a family of linear positive operators and establish direct results, asymptotic formula, rate of convergence, weighted approximation theorem, inverse theorem and better approximation for this family of linear positive operators.