3 articles for “Lacunary Sequence”

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Research ArticleOpen accessEvery word in the titleON ASYMPTOTICALLY LACUNARY STATISTICAL EQUIVALENT SEQUENCES IN PROBALISTIC NORMED SPACEAyhan EsiIn this study we study the new concept of asymptotically lacunary statistical convergent sequences in probabilistic normed spaces and prove some basic properties. …Journal of Mathematics and Statistics, Vol. 9, Issue 2 · 15 May 2013 · 6,863 accessesView PDF Cite

Research ArticleOpen accessEvery word in the titleKorovkin and Weierstrass Approximation via Lacunary Statistical SequencesRichard F. Patterson, Ekrem SavaşIn this study we shall extended Korovkin and Weierstrass approximation theorem to lacunary statistical convergent sequences. In addition, to these approximation theorems, we established also introduced lacunary statistically convergent of degree β and establish a corresponding Korovkin type theorem namely the following: If the sequence of positive linear operators Pn: CM [a, b]→ B[a, b] satisfies the conditions: * ||Pn(1, … …Journal of Mathematics and Statistics, Vol. 1, Issue 2 · 30 Jun 2005 · 6,659 accessesView PDF Cite

EditorialOpen accessEvery word in the titleThe Rough Intuitionistic Fuzzy Zweier Lacunary Ideal Convergence of Triple Sequence SpacesAyhan Esi, Nagarajan Subramanian, Vakeel Ahmad KhanWe introduced and studied the concept of I-convergence of triple sequences in metric spaces where I is an ideal. The concept of I-convergence has a wide application in the field of number theory, trigonometric series, summability theory, probability theory, optimization and approximation theory. In this article, we introduce rough intuitionistic fuzzy Lacunary ideal convergent of triple sequence spaces via zwier … …Journal of Mathematics and Statistics, Vol. 14, Issue 1 · 31 May 2018 · 7,713 accessesView PDF Cite