scholarly journals Some Newly Defined Sequence Spaces Using Regular Matrix of Fibonacci Numbers

2014 ◽  
Vol 14 (1) ◽  
pp. 1-3 ◽  
Author(s):  
Shyamal Debnath ◽  
Subrata Saha
Keyword(s):  
Fibonacci Numbers ◽  
Sequence Spaces ◽  
Regular Matrix

scholarly journals On the Fine Spectrum of the Operator Defined by the Lambda Matrix over the Spaces of Null and Convergent Sequences

2013 ◽  
Vol 2013 ◽  
pp. 1-13 ◽  
Author(s):  
Medine Yeşilkayagil ◽  
Feyzi Başar
Keyword(s):  
Point Spectrum ◽  
Sequence Spaces ◽  
Matrix Operator ◽  
Regular Matrix ◽  
Approximate Point Spectrum ◽  
Fine Spectrum ◽  
New Development ◽  
The Matrix ◽  
Convergent Sequences

The main purpose of this paper is to determine the fine spectrum with respect to Goldberg's classification of the operator defined by the lambda matrix over the sequence spaces andc. As a new development, we give the approximate point spectrum, defect spectrum, and compression spectrum of the matrix operator on the sequence spaces andc. Finally, we present a Mercerian theorem. Since the matrix is reduced to a regular matrix depending on the choice of the sequence having certain properties and its spectrum is firstly investigated, our work is new and the results are comprehensive.

Regular matrix of interval numbers based on Fibonacci numbers

2014 ◽  
Vol 26 (7-8) ◽  
pp. 1379-1385
Author(s):  
Shyamal Debnath ◽  
Amar Jyoti Datta ◽  
Subrata Saha
Keyword(s):  
Fibonacci Numbers ◽  
Regular Matrix ◽  
Interval Numbers

scholarly journals Regular matrix transformation on triple sequence spaces

2017 ◽  
Vol 35 (1) ◽  
pp. 85 ◽  
Author(s):  
Shyamal Debnath ◽  
Bimal Chandra Das
Keyword(s):  
Sequence Space ◽  
Sequence Spaces ◽  
Matrix Transformation ◽  
Sufficient Condition ◽  
Regular Matrix ◽  
Necessary And Sufficient Condition ◽  
Necessary And Sufficient

The main aim of this paper is to introduce the necessary and sufficient condition for a particular type of transformation of the form A: (a......)  be regular from a triple sequence space to another triple sequence space. 

Almost strongly Orlicz double sequence spaces of regular matrices and their applications to statistical convergence

2018 ◽  
Vol 11 (05) ◽  
pp. 1850073 ◽  
Author(s):  
Kuldip Raj ◽  
Anu Choudhary ◽  
Charu Sharma
Keyword(s):  
Statistical Convergence ◽  
Orlicz Function ◽  
Double Sequence ◽  
Convergent Sequence ◽  
Sequence Spaces ◽  
Regular Matrix ◽  
Normed Spaces ◽  
Double Sequence Spaces ◽  
Inclusion Relations ◽  
Algebraic Properties

In this paper, we introduce and study some strongly almost convergent double sequence spaces by Riesz mean associated with four-dimensional bounded regular matrix and a Musielak–Orlicz function over [Formula: see text]-normed spaces. We make an effort to study some topological and algebraic properties of these sequence spaces. We also study some inclusion relations between the spaces. Finally, we establish some relation between weighted lacunary statistical sequence spaces and Riesz lacunary almost statistical convergent sequence spaces over [Formula: see text]-normed spaces.

scholarly journals Regular matrix transformation on triple sequence spaces - I

Mathematica ◽  
2018 ◽  
Vol 60 (83) (2) ◽  
pp. 127-139
Author(s):  
Shyamal Debnath ◽  
◽  
Bimal Chandra Das ◽  
Keyword(s):  
Sequence Spaces ◽  
Matrix Transformation ◽  
Regular Matrix
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