ON GENERALIZATIONS OF INTEGRAL INEQUALITIES


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BAYRAKTAR B., Nápoles J., Rabossi F.

Problemy Analiza, cilt.12-29, sa.2, ss.3-23, 2022 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 12-29 Sayı: 2
  • Basım Tarihi: 2022
  • Doi Numarası: 10.15393/j3.art.2022.11190
  • Dergi Adı: Problemy Analiza
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.3-23
  • Anahtar Kelimeler: convex function, Hermite-Hadamard inequality, Simp-son-type inequality, Lipschitz conditions, Lagrange theorem, Rie-mann-Liouville fractional integral, HERMITE-HADAMARD TYPE, S-CONVEX, DIFFERENTIABLE MAPPINGS, SIMPSONS TYPE, REAL NUMBERS, DERIVATIVES
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

© Petrozavodsk State University, 2022In the present study, several new generalized integral inequalities of the Hadamard and Simpson-type are obtained. The results were obtained for functions whose first and third derivatives are either convex or satisfy the Lipschitz condition or the conditions of the Lagrange theorem. In a particular case, these results not only confirm but also improve some upper bounds, well known in the literature for the Simpson and Hermite-Hadamard-type inequalities.