2-point left Radau-type inequalities via s-convexity

Meftah B., Lakhdari A., Saleh W.

JOURNAL OF APPLIED ANALYSIS, cilt.29, sa.2, ss.341-346, 2023 (ESCI, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 29 Sayı: 2
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1515/jaa-2023-0014
  • Dergi Adı: JOURNAL OF APPLIED ANALYSIS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, ABI/INFORM, zbMATH
  • Sayfa Sayıları: ss.341-346
  • Kocaeli Üniversitesi Adresli: Hayır

Özet

Convexity is a fundamental concept in analysis. Over the past few decades, many significant error bounds have been established for various quadrature rules using different types of convexity. This paper focuses on the Gauss-Radau quadrature formula. Initially, we introduce a novel identity related to 2-point left Radau-type rule. Next, we derive several integral inequalities for functions whose first derivatives are s-convex in the second sense. Finally, we present applications to special means to demonstrate the effectiveness of our results.