Weighted Hermite-Hadamard and Simpson Type Inequalities for Double Integrals

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Budak H., Ertugral F., Sarikaya M. Z.

JOURNAL OF MATHEMATICAL EXTENSION, no.1, pp.149-177, 2021 (ESCI)

• Publication Type: Article / Article
• Publication Date: 2021
• Doi Number: 10.30495/jme.2021.1324
• Journal Name: JOURNAL OF MATHEMATICAL EXTENSION
• Journal Indexes: Emerging Sources Citation Index (ESCI)
• Page Numbers: pp.149-177
• Kocaeli University Affiliated: No

Abstract

In this paper, we first obtain two weighted identities for twice partially differentiable mappings. Moreover, utilizing these equalities, we establish the weighted Hermite-Hadamard type inequalities and weighted Simpson type inequalities for co-ordinated convex functions in a rectangle from the plane R-2 , respectively. The results given in this paper provide generalizations of some result established in earlier works.