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Relevant bibliographies by topics / Lacunary sequences

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Journal articles

Academic literature on the topic 'Lacunary sequences'

Author: Grafiati

Published: 4 June 2021

Last updated: 7 February 2022

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Journal articles on the topic "Lacunary sequences"

1

Li, Jinlu. "Lacunary statistical convergence and inclusion properties between lacunary methods." International Journal of Mathematics and Mathematical Sciences 23, no. 3 (2000): 175–80. http://dx.doi.org/10.1155/s0161171200001964.

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A lacunary sequence is an increasing integer sequenceθ={kr}such thatkr−kr−1→∞asr→∞. A sequencexis calledsθ-convergent toLprovided that for eachϵ>0,limr(1/(kr−kr−1)){the number of kr−1<k≤kr:|xk−L|≥ϵ}=0. In this paper, we study the general description of inclusion between two arbitrary lacunary sequences convergent.

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2

Savaş, Ekrem, and Richard F. Patterson. "Double sequence spaces characterized by lacunary sequences." Applied Mathematics Letters 20, no. 9 (2007): 964–70. http://dx.doi.org/10.1016/j.aml.2006.09.008.

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3

Sullivan, Keith, Drew Rutherford, and Darin J. Ulness. "Centered Polygonal Lacunary Sequences." Mathematics 7, no. 10 (2019): 943. http://dx.doi.org/10.3390/math7100943.

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Lacunary functions based on centered polygonal numbers have interesting features which are distinct from general lacunary functions. These features include rotational symmetry of the modulus of the functions and a notion of polished level sets. The behavior and characteristics of the natural boundary for centered polygonal lacunary sequences are discussed. These systems are complicated but, nonetheless, well organized because of their inherent rotational symmetry. This is particularly apparent at the so-called symmetry angles at which the values of the sequence at the natural boundary follow a

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4

Tripathy, Binod Chandra, Bipan Hazarika, and Bisweshwar Choudhary. "Lacunary I-Convergent Sequences." Kyungpook mathematical journal 52, no. 4 (2012): 473–82. http://dx.doi.org/10.5666/kmj.2012.52.4.473.

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5

Kişi, Ömer. "Lacunary Statistical Convergence in Measure for Double Sequences of Fuzzy Valued Functions." Journal of Mathematics 2021 (March 4, 2021): 1–12. http://dx.doi.org/10.1155/2021/6655630.

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Based on the concept of lacunary statistical convergence of sequences of fuzzy numbers, the lacunary statistical convergence, uniformly lacunary statistical convergence, and equi-lacunary statistical convergence of double sequences of fuzzy-valued functions are defined and investigated in this paper. The relationship among lacunary statistical convergence, uniformly lacunary statistical convergence, equi-lacunary statistical convergence of double sequences of fuzzy-valued functions, and their representations of sequences of α -level cuts are discussed. In addition, we obtain the lacunary stati

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6

Ulusu, Uğur, and Fatih Nuray. "Statistical Lacunary Summability of Sequences of Sets." Afyon Kocatepe University Journal of Sciences and Engineering 13, no. 1 (2013): 9–14. http://dx.doi.org/10.5578/fmbd.5435.

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7

Çakan, Celal, Bilal Altay, and Hüsamettin Çoşkun. "Double lacunary density and lacunary statistical convergence of double sequences." Studia Scientiarum Mathematicarum Hungarica 47, no. 1 (2010): 35–45. http://dx.doi.org/10.1556/sscmath.2009.1110.

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In this paper, we have defined double lacunary density and investigated the relation between statistical and lacunary statistical convergence of double sequences. Also, we have solved an inequality related to the lacunary statistical limit superior of real bounded double sequences.

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8

Kılıçman, Adem, and Stuti Borgohain. "Strongly Almost Lacunary -Convergent Sequences." Abstract and Applied Analysis 2013 (2013): 1–5. http://dx.doi.org/10.1155/2013/642535.

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9

Berkes, I. "Lacunary sequences and conditional independence." Acta Mathematica Hungarica 67, no. 3 (1995): 253–59. http://dx.doi.org/10.1007/bf01874336.

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10

Ruzsa, Imre Z. "Additive Completion of Lacunary Sequences." Combinatorica 21, no. 2 (2001): 279–91. http://dx.doi.org/10.1007/s004930100025.

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