On Some New Sequence Spaces via Orlicz Function in a Seminormed Space

2009 ◽  
Author(s):  
Ayhan Esi ◽  
Mehmet Açikgöz ◽  
Theodore E. Simos ◽  
George Psihoyios ◽  
Ch. Tsitouras
Keyword(s):  
Orlicz Function ◽  
Sequence Spaces ◽  
Seminormed Space

scholarly journals On double sequence spaces defined by an Orlicz function on a seminormed space

Filomat ◽  
2016 ◽  
Vol 30 (3) ◽  
pp. 631-638 ◽  
Author(s):  
Ekrem Savaş ◽  
Eren Savaş
Keyword(s):  
Sequence Space ◽  
Orlicz Function ◽  
Double Sequence ◽  
Sequence Spaces ◽  
Double Sequence Spaces ◽  
Double Sequence Space ◽  
Seminormed Space ◽  
Inclusion Results

In this paper we introduce and study the double sequence space m''(M,?,q) by using the Orlicz function M. Also we obtain some inclusion results involving the space m''(M,?,q).

Generalized difference sequence space defined by |$$ \bar N $$, p k| summability and an Orlicz function in seminormed space

2010 ◽  
Vol 60 (2) ◽  
Author(s):  
Vinod Bhardwaj ◽  
Indu Bala
Keyword(s):  
Sequence Space ◽  
Orlicz Function ◽  
Sequence Spaces ◽  
Difference Sequence ◽  
Topological Properties ◽  
Inclusion Relations ◽  
Difference Sequence Space ◽  
Seminormed Space ◽  
Complex Linear ◽  
Appl Math

AbstractThe object of this paper is to introduce a new difference sequence space which arise from the notions of |$$ \bar N $$, p k| summability and an Orlicz function in seminormed complex linear space. Various algebraic and topological properties and certain inclusion relations involving this space have been discussed. This study generalizes results: [ALTIN, Y.—ET, M.—TRIPATHY, B. C.: The sequence space |$$ \bar N_p $$|(M, r, q, s) on seminormed spaces, Appl. Math. Comput. 154 (2004), 423–430], [BHARDWAJ, V. K.—SINGH, N.: Some sequence spaces defined by |$$ \bar N $$, p n| summability, Demonstratio Math. 32 (1999), 539–546] and [BHARDWAJ, V. K.—SINGH, N.: Some sequence spaces defined by |$$ \bar N $$, p n| summability and an Orlicz function, Indian J. Pure Appl. Math. 31 (2000), 319–325].

Λ-strongly summable sequence spaces in n-normed spaces defined by ideal convergence and an Orlicz function

2013 ◽  
Vol 63 (4) ◽  
Author(s):  
Ayhan Esi ◽  
M. Kemal Özdemir
Keyword(s):  
Orlicz Function ◽  
Sequence Spaces ◽  
Normed Spaces ◽  
Ideal Convergence ◽  
Summable Sequence ◽  
Inclusion Results

AbstractIn this paper we introduce some certain new sequence spaces via ideal convergence, λ-sequence and an Orlicz function in n-normed spaces and study different properties of these spaces and also establish some inclusion results among them.

scholarly journals On Some Classes of Double Difference Sequences of Interval Numbers

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
S. A. Mohiuddine ◽  
Kuldip Raj ◽  
Abdullah Alotaibi
Keyword(s):  
Orlicz Function ◽  
Sequence Spaces ◽  
Double Difference ◽  
Difference Sequence ◽  
Topological Properties ◽  
Interval Numbers ◽  
Difference Sequences ◽  
Inclusion Relations ◽  
Interval Valued ◽  
Difference Sequence Spaces

The aim of this paper is to introduce some interval valued double difference sequence spaces by means of Musielak-Orlicz functionM=(Mij). We also determine some topological properties and inclusion relations between these double difference sequence spaces.

scholarly journals Riesz Triple Almost Lacunary χ3 Sequence Spaces Defined by a Orlicz Function-II

2017 ◽  
Vol 11 (3) ◽  
Author(s):  
Vandana ◽  
Deepmala ◽  
Subramanian N ◽  
Lakshmi Narayan Mishra
Keyword(s):  
Orlicz Function ◽  
Sequence Spaces

scholarly journals Generalized rough lacunary statistical triple difference sequence spaces in probability of fractional order defined by Musielak-Orlicz functionGeneralized rough lacunary statistical triple difference sequence spaces in probability of fractional order defined by Musielak-Orlicz function

2017 ◽  
Vol 37 (1) ◽  
pp. 55-62
Author(s):  
Shyamal Debnath ◽  
N. Subramanian
Keyword(s):  
Fractional Order ◽  
Orlicz Function ◽  
Lacunary Sequence ◽  
Sequence Spaces ◽  
Arbitrary Sequence ◽  
Difference Sequence ◽  
Positive Real ◽  
Topological Structures ◽  
Triple Difference ◽  
Difference Sequence Spaces

We generalized the concepts in probability of rough lacunary statistical by introducing the diference operator of fractional order, where is a proper fraction and = (mnk ) is anyxed sequence of nonzero real or complex numbers. We study some properties of this operator involving lacunary sequence and arbitrary sequence p = (prst) of strictly positive real numbers and investigate the topological structures of related triple diference sequence spaces. The main focus of the present paper is to generalized rough lacunary statistical of triple diference sequence spaces and investigate their topological structures as well as some inclusion concerning the operator :

On paranorm BVσ I-convergent double sequence spaces defined by an Orlicz function

Analysis ◽  
2017 ◽  
Vol 37 (3) ◽  
Author(s):  
Vakeel A. Khan ◽  
Hira Fatima ◽  
Sameera A. A. Abdullah ◽  
Kamal M. A. S. Alshlool
Keyword(s):  
Orlicz Function ◽  
Double Sequence ◽  
Sequence Spaces ◽  
Double Sequence Spaces

AbstractThe space

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