On f-strongly Cesaro and f-statistical derivable functions

ALTAY B., Garcia-Pacheco F. J., KAMA R.

AIMS MATHEMATICS, cilt.7, sa.6, ss.11276-11291, 2022 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 7 Sayı: 6
  • Basım Tarihi: 2022
  • Doi Numarası: 10.3934/math.2022629
  • Dergi Adı: AIMS MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Directory of Open Access Journals
  • Sayfa Sayıları: ss.11276-11291
  • Anahtar Kelimeler: statistical convergence, f-statistical convergence, Cesaro convergence, strongly Cesaro convergence, discrete derivative, CONVERGENCE, SPACES, SEQUENCE, DENSITY, MODULUS
  • İnönü Üniversitesi Adresli: Evet

Özet

In this manuscript, we introduce the following novel concepts for real functions related to f-convergence and f-statistical convergence: f-statistical continuity, f-statistical derivative, and f-strongly Cesaro derivative. In the first subsection of original results, the f-statistical continuity is related to continuity. In the second subsection, the f-statistical derivative is related to the derivative. In the third and final subsection of results, the f-strongly Cesaro derivative is related to the strongly Cesaro derivative and to the f-statistical derivative. Under suitable conditions of the modulus f, several characterizations involving the previous concepts have been obtained.