INTEGRAL INEQUALITIES OF SIMPSON TYPE VIA WEIGHTED INTEGRALS

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Napoles J., Cubillos M. N. Q., BAYRAKTAR B.

Problemy Analiza, cilt.12(30), sa.2, ss.68-86, 2023 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 12(30) Sayı: 2
  • Basım Tarihi: 2023
  • Doi Numarası: 10.15393/j3.art.2023.13310
  • Dergi Adı: Problemy Analiza
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.68-86
  • Anahtar Kelimeler: (h, convex fuction, Hadamard-type inequality, Hölder inequality, inequality of Simpson, m, power mean inequality, s)-convex function, weighted integral operator
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

In this work, we use weighted integrals to obtain new integral inequalities of the Simpson type for the class of (h,m,s,)-convex functions of the second type. In the work we show that the obtained results include some known from the literature, as particular cases.