| Autor: |
KHAN, Muhammad Bilal, NOOR, Muhammad Aslam, NOOR, Khalida Inayat, ÇETKIN, Vildan |
| Předmět: |
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| Zdroj: |
Sigma: Journal of Engineering & Natural Sciences / Mühendislik ve Fen Bilimleri Dergisi; Jun2023, Vol. 41 Issue 3, p524-537, 14p |
| Abstrakt: |
Being a critical part of classical analysis, some of the convex functions and inequalities have drawn much attention recently because both concepts establish a strong relationship. As a familiar extension of classical one, the interval-valued analysis is frequently used to the research of control theory, mathematical economy and so on. Motivated by the importance of convexity and inequality, our aim is to consider new class of convex interval-valued functions is known as LR-(p, h)-convex interval-valued functions through pseudo order relation(≤p). This order relation is defined on interval space. By using this concept, firstly we obtain Hermite- Hadamard (HH-) and Hermite- Hadamard-Fejer (HH-Fejer) type inequalities through pseudo order relation. Secondly, we present some new versions of discrete Jensen and Schur type inequalities via LR-(p, h)-convex interval-valued functions. Moreover, we have shown that our results include a wide class of new and known inequalities for LR-h-convex-IVFs and their variant forms as special cases. Under some mild restrictions, we have proved that the inclusion relation "⊆" coincident to pseudo order relation "≤p" when the interval-valued function is LR-(p, h)-convex or LR-(p, h)-concave. Results obtained in this paper can be viewed as improvement and refinement of previously known results. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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