Results 21 to 30 of about 1,119 (137)
Some new lacunary $f$-statistical $A$-convergent sequence spaces of order $\alpha$ [PDF]
, 2015 We study the concept of density for sets of natural numbers in some lacunary $A$-convergent sequence spaces. Also we are trying to investigate some relation between the ordinary convergence and module statistical convergence for evey unbounded modulus ...
Borgohain, Stuti, Savas, Ekrem
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ON f−LACUNARY STATISTICAL CONVERGENCE OF ORDER β OF DOUBLE SEQUENCES FOR DIFFERENCE SEQUENCES OF FRACTIONAL ORDER [PDF]
, 2023 In this study, by using definition of lacunary statistical convergence we introduce the concepts of f− lacunary statistical convergence of order β and strongly f−lacunary summability of order β of double sequences for different sequences of fractional ...
Aral, Nazlım Deniz +1 more
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Lacunary weak statistical convergence [PDF]
Mathematica Bohemica, 2011 Summary: The aim of this work is to generalize lacunary statistical convergence to weak lacunary statistical convergence and \(\mathcal {I}\)-convergence to weak \(\mathcal {I}\)-convergence. We start by defining weak lacunary statistically convergent and weak lacunary Cauchy sequences. We find a connection between weak lacunary statistical convergence
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Ideal-quasi-Cauchy sequences [PDF]
, 2012 An ideal $I$ is a family of subsets of positive integers $\textbf{N}$ which is closed under taking finite unions and subsets of its elements.
Cakalli, Huseyin, Hazarika, Bipan
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On lacunary d-statistical convergence of order α [PDF]
AIP Conference Proceedings, 2019 In this study, using a lacunary sequence we introduce the concepts of lacunary d−statistical convergence of order α and lacunary strong d p−Cesaro summability of order α in general metric spaces.
Et, Mikail, Karataş, Muharrem
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Statistical (T) rates of convergence [PDF]
, 2004 The basis for comparing rates of convergence of two null sequences is that "x = (xn) converges (stat T) faster than z = (zn) provided that (xn/zn) is T-statistically convergent to zero" where T = (tmn) is a mean.
C. Orhan, H. I. Miller
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Lacunary Statistical Convergence of Sequences of Real-Valued Functions
Journal of Mathematics, 2013 We introduce the concepts of the lacunary statistical convergence of sequences of real-valued functions. We also give the relation between this convergence and strongly lacunary and pointwise statistical convergence.
A. Gökhan
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Fundamental properties of statistical convergence and lacunary statistical convergence on time scales [PDF]
Filomat, 2017 In this paper, we first obtain a Tauberian condition for statistical convergence on time scales. We also find necessary and sufficient conditions for the equivalence of statistical convergence and lacunary statistical convergence on time scales. Some significant applications are also presented.
Turan, Ceylan, Duman, Oktay
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Lacunary statistical boundedness on time scales
Advances in Difference Equations, 2021 In this paper, we introduce the concept of lacunary statistical boundedness of Δ-measurable real-valued functions on an arbitrary time scale. We also give the relations between statistical boundedness and lacunary statistical boundedness on time scales.
Bayram Sözbir, Selma Altundağ
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Lacunary statistical convergence and strongly lacunary summable functions of order α
Filomat, 2017 Summary: The main purpose of this paper is to introduce and investigate the concepts of lacunary strong summability of order \(\alpha\) and lacunary statistical convergence of order \(\alpha\) of real-valued functions which are measurable (in the Lebesgue sense) in the interval \((1, \infty)\). Some relations between lacunary statistical convergence of
Srivastava, H. M., Et, Mikail
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