AbstractThe notation ∑k∣nf(k) means the finite sum of all numbers f(k) as k ranges over the integers that divide n including 1 and n. The purpose of this paper is to define a theory of summability suggested by this type of sum and an associated theory of convergence. This paper studies five sequence spaces that are related to the arithmetical summability thus defined
An arithmetic formula is an expression involving only the constant 1, and the binary operations of a...
Let $\mathcal{A}$ be a finite subset of $\mathbb{N}$ including $0$ and $f_\mathcal{A}(n)$ be the num...
AbstractThe purpose of this work is to introduce new types of sequences, whose terms are infinite se...
AbstractThe notation ∑k∣nf(k) means the finite sum of all numbers f(k) as k ranges over the integers...
WOS: 000416115500019In this paper, we introduce two new general theorems on phi - vertical bar A,p(n...
[Abstract:] The sum range SR[x; X], for a sequence x = (xn)n∈N of elements of a topological vector s...
In [8], Bor has obtained a main theorem dealing with Riesz summability factors of infinite series an...
In the present article, we have established a result on generalized indexed absolute Norlund summabi...
AbstractA well-known theorem of Erdös and Fuchs states that we cannot have too good an asymptotic fo...
AbstractLet a1 < a2 < … be a sequence of positive integers such that no ak is a sum of distinct othe...
In this paper, we have generalized a main theorem dealing with quasi-f-power increasing sequence to ...
An arithmetic formula is an expression involving only the constant 1, and the binary operations of a...
An arithmetic formula is an expression involving only the constant 1, and the binary operations of a...
This book develops the foundations of "summability calculus", which is a comprehensive theory of fra...
AbstractSums of the form ∑ν=1xf(ν) are defined traditionally only when the number of terms x is a po...
An arithmetic formula is an expression involving only the constant 1, and the binary operations of a...
Let $\mathcal{A}$ be a finite subset of $\mathbb{N}$ including $0$ and $f_\mathcal{A}(n)$ be the num...
AbstractThe purpose of this work is to introduce new types of sequences, whose terms are infinite se...
AbstractThe notation ∑k∣nf(k) means the finite sum of all numbers f(k) as k ranges over the integers...
WOS: 000416115500019In this paper, we introduce two new general theorems on phi - vertical bar A,p(n...
[Abstract:] The sum range SR[x; X], for a sequence x = (xn)n∈N of elements of a topological vector s...
In [8], Bor has obtained a main theorem dealing with Riesz summability factors of infinite series an...
In the present article, we have established a result on generalized indexed absolute Norlund summabi...
AbstractA well-known theorem of Erdös and Fuchs states that we cannot have too good an asymptotic fo...
AbstractLet a1 < a2 < … be a sequence of positive integers such that no ak is a sum of distinct othe...
In this paper, we have generalized a main theorem dealing with quasi-f-power increasing sequence to ...
An arithmetic formula is an expression involving only the constant 1, and the binary operations of a...
An arithmetic formula is an expression involving only the constant 1, and the binary operations of a...
This book develops the foundations of "summability calculus", which is a comprehensive theory of fra...
AbstractSums of the form ∑ν=1xf(ν) are defined traditionally only when the number of terms x is a po...
An arithmetic formula is an expression involving only the constant 1, and the binary operations of a...
Let $\mathcal{A}$ be a finite subset of $\mathbb{N}$ including $0$ and $f_\mathcal{A}(n)$ be the num...
AbstractThe purpose of this work is to introduce new types of sequences, whose terms are infinite se...
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