On some generalized difference paranormed sequence spaces associated with multiplier sequence defined by modulus function

2011 ◽  
Vol 27 (1) ◽  
pp. 21-27 ◽  
Author(s):  
Binod Chandra Tripathy ◽  
Prabhat Chandra
Keyword(s):  
Sequence Spaces ◽  
Modulus Function ◽  
Multiplier Sequence

scholarly journals The almost lacunary $\chi^{2}$ sequence spaces defined by modulus

2014 ◽  
Vol 32 (2) ◽  
pp. 209
Author(s):  
N. Subramanian
Keyword(s):  
Statistical Convergence ◽  
Sequence Spaces ◽  
Modulus Function

In this paper we introduce a new concept for almost lacunary $\chi^{2}$ sequence spaces strong $P-$ convergent to zero with respect to an modulus function and examine some properties of the resulting sequence spaces. We also introduce and study statistical convergence of almost lacunary $\chi^{2}$ sequence spaces and also some inclusion theorems are discussed.

scholarly journals On some generalized difference sequences with respect to a modulus function

Filomat ◽  
2003 ◽  
pp. 23-33 ◽  
Author(s):  
Mikail Et ◽  
Yavuz Altin ◽  
Hifsi Altinok
Keyword(s):  
Banach Space ◽  
Sequence Spaces ◽  
Modulus Function ◽  
Difference Sequence ◽  
Difference Sequences ◽  
Inclusion Relations ◽  
Difference Sequence Spaces

The idea of difference sequence spaces was intro- duced by Kizmaz [9] and generalized by Et and Colak [6]. In this paper we introduce the sequence spaces [V, ?, f, p]0 (?r, E), [V, ?, f, p]1 (?r, E), [V, ?, f, p]? (?r, E) S? (?r, E) and S?0 (?r, E) where E is any Banach space, examine them and give various properties and inclusion relations on these spaces. We also show that the space S? (?r, E) may be represented as a [V, ?, f, p]1 (?r, E)space.

Double Modulus Function Defined χ3-Sequence Spaces

2021 ◽  
Author(s):  
Dalael Saad Abdul-Zahra ◽  
Alaa Mohammed Redha Abdulhasan ◽  
Hawraa Kareem Judi ◽  
Kahtan A. Mohammed
Keyword(s):  
Sequence Spaces ◽  
Modulus Function

scholarly journals On the Classical Paranormed Sequence Spaces and Related Duals over the Non-Newtonian Complex Field

2015 ◽  
Vol 2015 ◽  
pp. 1-11
Author(s):  
Uğur Kadak ◽  
Murat Kirişci ◽  
Ahmet Faruk Çakmak
Keyword(s):  
Rate Of Convergence ◽  
Chemical Reaction ◽  
Sequence Spaces ◽  
Complex Field ◽  
Multiplier Sequence

The studies on sequence spaces were extended by using the notion of associated multiplier sequences. A multiplier sequence can be used to accelerate the convergence of the sequences in some spaces. In some sense, it can be viewed as a catalyst, which is used to accelerate the process of chemical reaction. Sometimes the associated multiplier sequence delays the rate of convergence of a sequence. In the present paper, the classical paranormed sequence spaces have been introduced and proved that the spaces are⋆-complete. By using the notion of multiplier sequence, theα-,β-, andγ-duals of certain paranormed spaces have been computed and their basis has been constructed.

scholarly journals Some New Difference Sequence Spaces of Invariant Means Defined by Ideal and Modulus Function

2014 ◽  
Vol 2014 ◽  
pp. 1-7
Author(s):  
Sudhir Kumar ◽  
Vijay Kumar ◽  
S. S. Bhatia
Keyword(s):  
Sequence Spaces ◽  
Modulus Function ◽  
Difference Sequence ◽  
Topological Properties ◽  
Ideal Convergence ◽  
Difference Sequences ◽  
Invariant Means ◽  
Difference Sequence Spaces

The main objective of this paper is to introduce a new kind of sequence spaces by combining the concepts of modulus function, invariant means, difference sequences, and ideal convergence. We also examine some topological properties of the resulting sequence spaces. Further, we introduce a new concept of SθσΔm(I)-convergence and obtain a condition under which this convergence coincides with above-mentioned sequence spaces.

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