Cesàro summable sequence spaces over the non-Newtonian complex field
type: Item
instance of: scholarly article
title: Cesàro summable sequence spaces over the non-Newtonian complex field
zbMATH Open document ID: 1449.46005
DOI: 10.1155/2016/5862107
author: Uğur Kadak
published in: Journal of Probability and Statistics
publication date: 2018-08-14T00:00:00Z
review text: Summary: The spaces \(\omega_0^p\), \(\omega^p\), and \(\omega_{\infty}^p\) can be considered the sets of all sequences that are strongly summable to zero, strongly summable, and bounded, by the Cesàro method of order \(1\) with index \(p\). Here we define the sets of sequences which are related to strong Cesàro summability over the non-Newtonian complex field by using two generator functions. Also we determine the \(\beta\)-duals of the new spaces and characterize matrix transformations on them into the sets of \(\ast\)-bounded, \(\ast\)-convergent, and \(\ast\)-null sequences of non-Newtonian complex numbers.
Mathematics Subject Classification ID: 46A45
Mathematics Subject Classification ID: 40C05
zbMATH DE Number: 6917526
zbMATH Keywords: strong Cesàro summability
zbMATH Keywords: non-Newtonian complex field
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2016/5862107
OpenAlex ID: W2346184945
Wikidata QID: Q59129353
cites work: Q3580753
cites work: On certain Euler difference sequence spaces of fractional order and related dual properties
cites work: The dual spaces of sets of difference sequences of order \(m\) and matrix transformations
cites work: Matrix transformations between FK-spaces and the sequence spaces \(m(\phi)\) and \(n(\phi)\)
cites work: Matrixtransformationen von Folgenräumen. Eine Ergebnisübersicht
cites work: Multiplicative calculus and its applications
cites work: Multiplicative Runge-Kutta methods
cites work: Multiplicative Adams Bashforth-Moulton methods
cites work: Some new results on sequence spaces with respect to non-Newtonian calculus
cites work: Certain spaces of functions over the field of non-Newtonian complex numbers
cites work: Certain sequence spaces over the non-Newtonian complex field
cites work: Generalized Runge-Kutta method with respect to the non-Newtonian calculus
cites work: On Kuttner's Theorem
cites work: Ordinary, absolute and strong summability and matrix transformations
cites work: Q3539443
description: scientific article; zbMATH DE number 6917526