Results 101 to 110 of about 1,546,174 (193)

SOME DOUBLE LACUNARY SEQUENCE SPACES

, 2014
The purpose of this paper is to introduce some double lacunary sequence spaces defined by a sequence of Orlicz functions.  We also make an effort to study some topological properties and inclusion relations between these sequence ...
Sharma, Sunil K., Jamwal, Seema, Raj, Kuldip   +2 more
core  

?-statistical convergent double lacunary sequence spaces

, 2015
In the present paper we introduce mu-statistical convergent double lacunary sequence spaces defined by a sequence of Orlicz function M = (M-kl) over n-normed spaces.
Esi, Ayhan, Sharma, S. K.
core   +1 more source

Statistical convergence of order α in probability

Arab Journal of Mathematical Sciences, 2015
In this paper the ideas of different types of convergence of a sequence of random variables in probability, namely, statistical convergence of order α in probability, strong p-Cesàro summability of order α in probability, lacunary statistical ...
Pratulananda Das, Sanjoy Ghosal, Sumit Som   +2 more
doaj   +1 more source

Lacunary statistical summability of sequences of sets

, 2014
In this paper we define the WS_θ-analog of the Cauchy criterion for convergence and show that it is equivalent to Wijsman lacunary statistical convergence. Also, Wijsman lacunary statistical convergence is compared to other summability methods which are defined in this paper.
Ulusu, Uğur, Nuray, Fatih
openaire   +2 more sources

Some New Lacunary Strong Convergent Vector-Valued Sequence Spaces

Abstract and Applied Analysis, 2014
We introduce some vector-valued sequence spaces defined by a Musielak-Orlicz function and the concepts of lacunary convergence and strong (A)-convergence, where A=(aik) is an infinite matrix of complex numbers.
M. Mursaleen, A. Alotaibi, Sunil K. Sharma   +2 more
doaj   +1 more source

Lacunary strong Aq-convergence sequence spaces defined by a sequence of moduli

, 2013
The definition of lacunary strong A-convergence to a modulus is extended to a definition of lacunary strong A(q)-convergence with respect to a sequence of moduli.
Esi, Ayhan
core  

Lacunary strong A-convergence with respect to a sequence of modulus functions

, 2003
The definition of lacunary strong A-convergence with respect to a modulus is extended to a definition of lacunary strong A-convergence with respect to a sequence of modulus functions.
Bilgin, Tunay, Tunay Bilgin
core   +1 more source

Inclusion Theorems for Double Lacunary Sequence Spaces

, 2005
In this paper we will present a definition for lacunary P-convergent double sequences analogues to the definition presented by Freedman, Sember and Raphael in 1978.
Patterson, R. F., Savas, E., Karakaya, Vatan   +2 more
core  

Sections and Lacunary Sums of Linearly Recurrent Sequences

Advances in Applied Mathematics, 1999
The paper deals with the space of linear recurrent sequences, i.e., the complex vector space generated by all the sequences \(s_{a,k}(m) = {m \choose k}a^{m-k}\), for \(a\) a complex number and \(k\) a natural number. The author studies sections and sums of linear recurrent sequences.
openaire   +1 more source

Ideal (I₂) Convergence in Fuzzy Paranormed Spaces for Practical Stability of Discrete-Time Fuzzy Control Systems Under Lacunary Measurements

Axioms
We investigate the stability of linear discrete-time control systems with a fuzzy logic feedback under sporadic sensor data loss. In our framework, each state measurement is a fuzzy number, and occasional “packet dropouts” are modeled by a lacunary ...
Muhammed Recai Türkmen, Hasan Öğünmez   +1 more
doaj   +1 more source