A theorem on the absolute riesz summability of a fourier series at a point

The object of this paper is to improve the corresponding results due to R. Mohanty and T. Pati ([2], [6], [7]).     

On the absolute Riesz summability of orthogonal series

- , [4]. , .     

Multipliers for the absolute euler summability of fourier series

In this paper, the author has investigated necessary and sufficient conditions for the absolute Euler summability of the Fourier series with miltipliers. These conditions are weaker than those obtained earlier by some workers. It is further shown that the multipliers are best possible in certain sense.     

On the newly generalized absolute Riesz summability of orthogonal series

[3] , [1], ¦C,,(t)¦ _k - . , , ¦R, , (t)¦ _k - ¦R, , (t)¦ _k - . (t)=1,k=1 [7], [9].

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This research was partially supported by the Hungarian National Foundation for Scientific Research under Grant#T 016 393.     

A study on absolute Riesz summability factors

In the present paper, two general theorems on summability factors of infinite series which generalize some known results, have been proved. Also we have obtained two new results concerning the |C,1;δ| _k summability factors.     

Some new results on absolute Riesz summability of infinite series and Fourier series

In this paper, some known results on the absolute Riesz summability factors of infinite series and Fourier series have been proved under weaker conditions. Some new and known results are also obtained.     

A summability factor theorem for absolute summability involving quasi-monotone sequences

In this paper we prove a theorem on _|A|k,k≥1${\left|A\right|}_k,k\ge 1$, summability factors for an infinite series by replacing a weighted mean matrix with a triangular matrix.     

A theorem on absolute summability factors

Mathematical Notes - A theorem on $$ |\overline N ,p_n |_k $$ -summability factors of infinite series is proved under weaker conditions. A new result concerning the |C, 1| k -summability factors is...     

A new factor theorem for absolute matrix summability

Abstract

In this paper, we have extended a known theorem dealing with |, p_n|k summability factors to the |A, p_n|k summability under weaker conditions by using an almost increasing sequence     

A general theorem characterizing some absolute summability methods

A general theorem is given which gives the necessary and sufficient conditions satisfied by a sequence (ε_n) in order to have the series Σa _n ε _n summable to |A| whenever Σa _n is summable to |A| for some summability methodA.