Novel Hermite-Hadamard type integral inequalities for twice differentiable functions by weighted integrals

Nápoles Valdés J. E., YILDIZ Ç.

Filomat, cilt.39, sa.3, ss.1019-1032, 2025 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 39 Sayı: 3
  • Basım Tarihi: 2025
  • Doi Numarası: 10.2298/fil2503019n
  • Dergi Adı: Filomat
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1019-1032
  • Anahtar Kelimeler: generalized calculus, Integral inequalities, weighted integral operators
  • Atatürk Üniversitesi Adresli: Evet

Özet

For convex, s−convex and h−convex functions, the Hermite-Hadamard inequality is already well known in the theory of inequalities. In this regard, this work presents new inequalities associated with the weighted integrals for (h, m)-convex modified functions by utilizing a different technique. These novel inequalities are also obtained by means of Power-mean, Young, and Hölder inequalities.