The method of almost convergence with operator of the form fractional order and applications

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Kirisci M., Kadak U.

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, cilt.10, sa.2, ss.828-842, 2017 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 10 Sayı: 2
  • Basım Tarihi: 2017
  • Doi Numarası: 10.22436/jnsa.010.02.42
  • Dergi Adı: JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), zbMATH
  • Sayfa Sayıları: ss.828-842
  • Anahtar Kelimeler: Gamma function, almost convergence, fractional order difference operator, matrix domain, dual spaces, DIFFERENCE SEQUENCE-SPACES, INFINITE MATRICES, EULER, FIBONACCI
  • Gazi Üniversitesi Adresli: Evet

Özet

The purpose of this paper is twofold. First, basic concepts such as Gamma function, almost convergence, fractional order difference operator and sequence spaces are given as a survey character. Thus, the current knowledge about those concepts are presented. Second, we construct the almost convergent spaces with fractional order difference operator and compute dual spaces which help us in the characterization of matrix mappings. After we characterize to the matrix transformations, we give some examples. In this paper, the notation Gamma( n) will be shown the Gamma function. For n is not an element of{0, -1,-2,.. }, Gamma function is defined by an improper integral Gamma(n) = integral(infinity)(theta) e (-t) t (n-1) dt. (C) 2017 All rights reserved.