Some integral inequalities via(p, q) −calculus on finite intervals

Tunç M., Göv E.

Filomat, cilt.35, sa.5, ss.1421-1430, 2021 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 35 Sayı: 5
  • Basım Tarihi: 2021
  • Doi Numarası: 10.2298/fil2105421t
  • Dergi Adı: Filomat
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Sayfa Sayıları: ss.1421-1430
  • Anahtar Kelimeler: Hölder inequality, Minkowski inequality, P, q−derivative, P, q−integral, quantum calculus
  • Hatay Mustafa Kemal Üniversitesi Adresli: Evet

Özet

The aim of this paper is to construct p, q-calculus on finite intervals. The pk, qk−derivative and(pk, qk)−integral are defined and some basic properties are given. Also, (pk, qk) −analogue of Hölder, Minkowski integral inequalities are proved.