On q-statistical convergence and statistical solution of q-Cauchy problem

Zengin G. G., Kalita H., SAVAŞ E., Dutta T. K.

Filomat, cilt.40, sa.3, ss.865-879, 2026 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 40 Sayı: 3
  • Basım Tarihi: 2026
  • Doi Numarası: 10.2298/fil2603865g
  • Dergi Adı: Filomat
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.865-879
  • Anahtar Kelimeler: Cauchy Probelm, q-integrable function, q-statistical convergence, q-statistically Cauchy, stastical solutions
  • Uşak Üniversitesi Adresli: Evet

Özet

In this paper, we present the concept of q-statistical convergence for any sequence of real-valued functions. Several characteristics of q-statistical convergence for sequences of functions with real values are examined. Further, we introduce the notion of q-statistical convergence for sequences of Jackson integrable functions. Finally, we determine the q-statistical solution of q-differential equations that involve non-uniquely solvable Cauchy problems.