Makale detayı · 2022
Simpson’s Second-Type Inequalities for Co-Ordinated Convex Functions and Applications for Cubature Formulas
- Yıl
- 2022
- Tür
- article
Veri kaynağı ayrımı
- YÖKSİS YÖKSİS makale kaydı
- YÖKSİS dergi adı Fractal and Fractional
- Katalog eşleşmesi (ISSN) Fractal and Fractional
- OpenAlex OpenAlex zenginleştirmesi (özet, atıf, konular)
Özet
OpenAlex · İngilizce
Inequality theory has attracted considerable attention from scientists because it can be used in many fields. In particular, Hermite–Hadamard and Simpson inequalities based on convex functions have become a cornerstone in pure and applied mathematics. We deal with Simpson’s second-type inequalities based on coordinated convex functions in this work. In this paper, we first introduce Simpson’s second-type integral inequalities for two-variable functions whose second-order partial derivatives in modulus are convex on the coordinates. In addition, similar results are acquired by considering that powers of the absolute value of second-order partial derivatives of these two-variable functions are convex on the coordinates. Finally, some applications for Simpson’s 3/8 cubature formula are given.
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Yerel katalogda bu makaleye atıf yapan 12 yayın (OpenAlex referans eşleşmesi; tam dünya listesi değildir).
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