Results 81 to 90 of about 200 (156)

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
doaj   +1 more source

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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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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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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On Some New Sequence Spaces and Statistical Convergence Methods for Double Sequences

Demonstratio Mathematica, 2014
In this paper, we introduce some new double sequence spaces with respect to an Orlicz function and define two new convergence methods related to the concepts of statistical convergence and lacunary statistical convergence for double sequences.
Belen Cemal, Yildirim Mustafa
doaj   +1 more source

On Some Lacunary Almost Convergent Double Sequence Spaces and Banach Limits

Abstract 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

Lanthanides Singing the Blues: Their Fascinating Role in the Assembly of Gigantic Molybdenum Blue Wheels. [PDF]

ACS Nanosci Au, 2022
Al-Sayed E, Rompel A.
europepmc   +1 more source

Polyoxometalate-peptide hybrid materials: from structure-property relationships to applications. [PDF]

Chem Sci, 2022
Soria-Carrera H, Atrián-Blasco E, Martín-Rapún R, Mitchell SG.   +3 more
europepmc   +1 more source