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Interval Fejér-Type Inequalities for Left and Right-λ-Preinvex Functions in Interval-Valued Settings

Tareq Saeed, Muhammad Bilal Khan, Savin Treanţă, Hamed Alsulami, Mohammed Sh. Alhodaly

2022Axioms19 citationsDOIOpen Access PDF

Abstract

For left and right λ-preinvex interval-valued functions (left and right λ-preinvex IVFs) in interval-valued Riemann operator settings, we create Hermite–Hadamard (H-H) type inequalities in the current study. Additionally, we create Hermite–Hadamard–Fejér (H-H-Fejér)-type inequalities for preinvex functions of the left and right interval-valued type under some mild conditions. Moreover, some exceptional new and classical cases are also obtained. Some useful examples are also presented to prove the validity of the results.

Topics & Concepts

Interval (graph theory)Hadamard transformMathematicsType (biology)Hermite polynomialsPure mathematicsInequalityOperator (biology)Discrete mathematicsMathematical analysisCombinatoricsTranscription factorGeneChemistryBiochemistryEcologyBiologyRepressorMathematical Inequalities and ApplicationsFunctional Equations Stability ResultsOptimization and Variational Analysis
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