Results 91 to 100 of about 1,622,947 (195)

Some double lacunary sequence spaces defined by Orlicz Functions [PDF]

open access: yes, 2011
In this paper we introduce a new concept for lacunary strong P-convergent with respect to an Orlicz function and examine some properties of the resulting sequence space.
Patterson, R. F., Savas, E.
core  

On the law of the iterated logarithm for the discrepancy of lacunary sequences [PDF]

open access: yesTransactions of the American Mathematical Society, 2010
A classical result of Philipp (1975) states that for any sequence ( n k
openaire   +2 more sources

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

open access: yes, 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, Bilgin, T
core   +1 more source

Lacunary Statistically $\phi$- Convergence

open access: yes, 2020
In this paper by using the lacunary sequence and Orlicz function $\phi$, we introduce a new concept of lacunary statistically $\phi$-convergence, as a generalization of the statistically $\phi-$convergence and $\phi-$convergence.
Debnath, Shyamal, Savas, Ekrem
core   +1 more source

Operator Ideal of Cesaro Type Sequence Spaces Involving Lacunary Sequence

open access: yesAbstract and Applied Analysis, 2014
The aim of this paper is to give the sufficient conditions on the sequence space Cesθ,p defined in Lim (1977) such that the class of all bounded linear operators between any arbitrary Banach spaces with nth approximation numbers of the bounded linear ...
Awad A. Bakery
doaj   +1 more source

On Some Lacunary Almost Convergent Double Sequence Spaces and Banach Limits

open access: yesAbstract and Applied Analysis, 2012
The object of this paper is to introduce some new sequence spaces related with the concept of lacunary strong almost convergence for double sequences and also to characterize these spaces through sublinear functionals that both dominate and generate ...
Metin Başarır, Şükran Konca
doaj   +1 more source

Lacunary statistical summability of sequences of sets

open access: yes, 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

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

open access: yes, 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  

Δ-lacunary weakly statistical convergence and weak

open access: yes, 2021
In this section, we are going to introduce the principles of Δ-lacunary weaklystatistically convergent sequence of ...
Shahram A.
core   +1 more source

Some New Lacunary Strong Convergent Vector-Valued Sequence Spaces

open access: yesAbstract 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   +2 more
doaj   +1 more source

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