A New Trigonometric Method of Summation and its Application to the Degree of Approximation

Proceedings Mathematical Sciences

B K Ray¹  Anasuya Nath³  G Das² 

[1] $$;Department of Mathematics, Utkal University, Vani Vihar, Bhubaneswar 00, Orissa, India$$;Department of Mathematics, Ravenshaw College, Cuttack 00, Orissa, India$$

关键词: Nörlund mean;    (𝑅2) method;    Abelian theorems;    Hölder metric;    Banach space;    Fourier effective.;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

The object of the present investigation is to introduce a new trigonometric method of summation which is both regular and Fourier effective and determine its status with reference to other methods of summation (see $mathcal{x}$2–$mathcal{x}$4) and also give an application of this method to determine the degree of approximation in a new Banach space of functions conceived as a generalized Hölder metric (see $mathcal{x}$5).

【 授权许可】

Unknown