FEJER INEQUALITY FOR s-CONVEX FUNCTIONS IN THE FOURTH SENSE

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EKEN Z.

JOURNAL OF MATHEMATICAL INEQUALITIES, cilt.16, sa.1, ss.19-34, 2022 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 16 Sayı: 1
  • Basım Tarihi: 2022
  • Doi Numarası: 10.7153/jmi-2022-16-02
  • Dergi Adı: JOURNAL OF MATHEMATICAL INEQUALITIES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Sayfa Sayıları: ss.19-34
  • Anahtar Kelimeler: Convexity, s-convexity, Fejer inequality, HERMITE-HADAMARD INEQUALITIES
  • Akdeniz Üniversitesi Adresli: Evet

Özet

In this paper, Fejer inequality for s -convex functions in the fourth sense is established. Some integral inequalities related to Fejer inequalities are presented through the functions whose first derivative is s -convex in the fourth sense. Also some application examples of these inequalities are presented. These applications of Fejer inequality and other obtained integrals result in the bound functions for Gauss error function, incomplete gamma function and Fresnel integrals.