Abstract

Approximation of a Function Belonging to the Class Lip (ψ (t), p) by Using [s,a<sub>n</sub>] Means

Highlights

  • Meyer-Konig6 introduces so called Sa method of summability which is one of the family of transformation including the Euler, Borel and Taylor methods

  • Let the Fourier series associated with the function be and as usual we denote

  • Meir and Sharma5 while studying constant established that when Vn and Tn are bounded the S a n, method sums only convergent Fourier series and so here after we assume T n and V n with n

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Summary

Introduction

Meyer-Konig6 introduces so called Sa method of summability which is one of the family of transformation including the Euler, Borel and Taylor (circle method) methods. Let a j be a given sequence of real complex numbers. S,an ,transformations of S j ; i.e. the sequence of partial sums of the series if Converges, where is given by the identity . The sequence S j is said to be [S, αn] summable to if

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