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On asymptotically equivalent difference sequences with respect to a modulus function
Authors:Metin?Ba?arir  author-information"  >  author-information__contact u-icon-before"  >  mailto:basarir@sakarya.edu.tr"   title="  basarir@sakarya.edu.tr"   itemprop="  email"   data-track="  click"   data-track-action="  Email author"   data-track-label="  "  >Email author,Selma?Altunda?
Affiliation:1.Department of Mathematics, Faculty of Science and Arts,Sakarya University,Sakarya,Turkey
Abstract:This paper presents new definitions which are a natural combination of the definition for asymptotically equivalence and Δ m -lacunary strongly summable with respect to a modulus f. Using this definitions we have proved the (f, Δ m )-asymptotically equivalence and Δ m -lacunary statistical asymptotically equivalence analogues of theorems of Tripathy and Et (Stud Univ Babe?-Bolyai Math (1):119–130, 2005) and Çolak’s theorems (Filomat 17:9–14, 2003).
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