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Discatenated and lacunary recurrences [PDF]

Notes on Number Theory and Discrete Mathematics
Recursive sequences with gaps have been studied previously. This paper considers some elementary properties of such sequences where the gaps have been created on a regular basis from sequence to sequence – ‘discatenated’ (systematic gaps) and ‘lacunary’
Hakan Akkuş, Ömür Deveci, Engin Özkan, Anthony G. Shannon   +3 more
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On the law of the iterated logarithm for the discrepancy of lacunary sequences [PDF]

Transactions of the American Mathematical Society, 2010
A classical result of Philipp (1975) states that for any sequence ( n k
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On quasi-lacunary invariant convergence of sequences of sets [PDF]

, 2018
In this study, we give definitions of Wijsman quasi-lacunary invariant convergence, Wijsman strongly quasi-lacunary invariant convergence and Wijsman quasi-lacunary invariant statistically convergence for sequences of sets.
Gülle, Esra, Ulusu, Uğur
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On Asymptotically Double Lacunary Statistical Equivalent Sequences in Probabilistic Normed Space

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012
In this paper we study the concept of asymptotically double lacunary statistical convergent sequences in probabilistic normed spaces and prove some basic properties.
Esi Ayhan
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Some Geometric Properties of Sequence Spaces Involving Lacunary Sequence [PDF]

Journal of Inequalities and Applications, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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
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Characterization of lacunary I-convergent sequences in credibility space

This research paper aims to introduce the concept of lacunary ideal Cauchy sequences of fuzzy variables in a credibility space. We establish the interrelationships between this notion with lacunary ideal convergent sequences in the same structure from ...
Tripathy, Binod Chandra, Das, Birojit, Kişi, Ömer, Das, Mousami   +3 more
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Riesz lacunary uniform integrability and statistical convergence via power series method

Journal of Inequalities and Applications
In this paper, the concepts of Riesz lacunary statistical convergence, Riesz lacunary strong convergence, and Riesz lacunary uniform integrability of real sequences within the framework of power series are introduced and studied.
Jun-Jie Quan, Devia Narrania, Kuldip Raj, Qing-Bo Cai   +3 more
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Asymptotically I-Cesaro equivalence of sequences of sets

Universal Journal of Mathematics and Applications, 2018
In this paper, we defined concepts of asymptotically $\mathcal{I}$-Cesaro equivalence and investigate the relationships between the concepts of asymptotically strongly $\mathcal{I}$-Cesaro equivalence, asymptotically strongly $\mathcal{I}$-lacunary ...
Erdinç Dundar, Uğur Ulusu
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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.
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