Measure theory of statistical convergence

LX Cheng, GC Lin, YY Lan, H Liu - Science in China Series A …, 2008 - Springer
The question of establishing measure theory for statistical convergence has been moving
closer to center stage, since a kind of reasonable theory is not only fundamental for unifying …

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

T Bilgin - Applied mathematics and computation, 2004 - Elsevier
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 …

Some New Lacunary Strong Convergent Vector‐Valued Sequence Spaces

M Mursaleen, A Alotaibi… - Abstract and Applied …, 2014 - Wiley Online Library
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 …

Some new Lacunary strong convergent vector-valued multiplier difference sequence spaces defined by a Musielak-Orlicz function

K Raj, SK Sharma - Acta Mathematica Academiae Paedagogicae …, 2012 - real.mtak.hu
In the present paper we introduce some vector-valued multiplier difference sequence
spaces defined by a Musielak-Orlicz function, concepts of lacunary convergence and strong …

New Lacunary sequence spaces defined by fractional difference operator

SK Sharma - International Journal of Nonlinear Analysis and …, 2022 - ijnaa.semnan.ac.ir
In the present paper, we introduce new lacunary strong convergent vector-valued sequence
spaces defined by fractional difference operator and Musielak-Orlicz function. We make an …

[PDF][PDF] AI-statistical convergence with respect to a sequence of modulus functions

U Yamancı, M Gürdal, S Saltan - Contemp. Anal. Appl. Math, 2014 - researchgate.net
In this paper, we introduce the notion of Ai-[V, λ]-summability and Ai-λ-statistical
convergence with respect to a sequence of modulus functions. We basically study some …

New definitions about AI-statistical convergence with respect to a sequence of modulus functions and Lacunary sequences

Ö Kişi, H Gümüş, E Savas - Axioms, 2018 - mdpi.com
In this paper, using an infinite matrix of complex numbers, a modulus function and a
lacunary sequence, we generalize the concept of I-statistical convergence, which is a …

[PDF][PDF] Some multiplier lacunary sequence spaces defined by a sequence of modulus functions

K Raj, SK Sharma, A Gupta - Acta Univ. Sapientiae Math, 2012 - 193.16.218.141
Some multiplier lacunary sequence spaces defined by a sequence of modulus functions Page
1 Acta Univ. Sapientiae, Mathematica, 4, 2 (2012) 117–131 Some multiplier lacunary sequence …

[PDF][PDF] ON LACUNARY STRONG (A, u,∆ m)-CONVERGENT SEQUENCES WITH RESPECT TO A SEQUENCE OF MODULUS FUNCTIONS

NL Braha, A Esi, V LOKU - Ilirias J. Math - researchgate.net
The purpose of this paper is to define and study the spaces Nθ (A, F, u,∆ m) and N0 θ (A, F,
u,∆ m) of lacunary strong (A, u,∆ m)-convergent sequences with respect to a sequence of …

On Lacunary Strong (A, u, Δ)--Convergent Sequences with Respect to a Sequence of Modulus Functions.

AHA Bataineh, NA Al-O'dat - Southeast Asian Bulletin of …, 2008 - search.ebscohost.com
The propose of this paper is to define and study the N< sub> θ(A, F, u, Δ) and N< sub> θ<
sup> 0(A, F, u, Δ) of lacunary strong (A, u, Δ)--convergent sequences with respect to a …