On some sequence to sequence transformations

Convergence Properties of Some Nonlinear Sequence Transformations

The nonlinear transformations t o accelerate the convergence o f sequences due t o Levin are considered and bounds o n the errors are derived. Convergence theorems for oscillatory and some monotone sequences are proved.

Some Sequence Spaces and Their Matrix Transformations

The most general linear operator to transform from new sequence space into another sequence space is actually given by an infinite matrix. In the present paper we represent some sequence spaces and give the characterization of (S (p), ) and (S (p), ).

Some Paranormed Sequence Spaces and Matrix Transformations

Let w, γ, γo, c, co and l∞ be the spaces of all, summable, summable to zero, convergent, null and bounded sequences respectively. The notion of statistical convergence of sequences was introduced by Fast [3], Schoenberg [12] and Buck [1] independently. Later on the idea was exploited from sequence space point of view and linked with summability by Fridy [4], S̆alát [11], Kolk [5], Rath and Tripa...

Sil Transformations on Sequence Edges

On a sequence related to the coprime integers

The asymptotic behaviour of the sequence with general term $P_n=(varphi(1)+varphi(2)+cdots+varphi(n))/(1+2+cdots+n)$, is studied which appears in the studying of coprime integers, and an explicit bound for the difference $P_n-6/pi^2$ is found.