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On γ-preinvex functions

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1 Published in 2020 at "Filomat"

DOI: 10.2298/fil2012137a

Abstract: The aim of the paper is to introduce the notion of γ-preinvex functions.We study this class in perspective of inequalities of Hermite-Hadamard type. We also derive some new estimates of upper bounds involving n-times differentiable… read more here.

Keywords: preinvex functions;

Fejér-Type Midpoint and Trapezoidal Inequalities for the Operator ω1,ω2-Preinvex Functions

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0 Published in 2022 at "Axioms"

DOI: 10.3390/axioms12010016

Abstract: In this work, we obtain some new integral inequalities of the Hermite–Hadamard–Fejér type for operator ω1,ω2-preinvex functions. The bounds for both left-hand and right-hand sides of the integral inequality are established for operator ω1,ω2-preinvex functions… read more here.

Keywords: preinvex functions; operator preinvex; trapezoidal inequalities; fej type ... See more keywords

Some New Classes of Preinvex Functions and Inequalities

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1 Published in 2018 at "Mathematics"

DOI: 10.3390/math7010029

Abstract: In this article, we introduce some new class of preinvex functions involving two arbitrary auxiliary functions. We derive some new integral inequalities for these classes of preinvex functions. We also discuss some special cases which… read more here.

Keywords: preinvex functions; functions inequalities; classes preinvex; new classes ... See more keywords

Some New Quantum Hermite-Hadamard-Type EstimatesWithin a Class of Generalized (s, m)-Preinvex Functions

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0 Published in 2019 at "Symmetry"

DOI: 10.3390/sym11101283

Abstract: In this work, we discover a new version of Hermite–Hadamard quantum integrals inequality via m-preinvex functions. Moreover, the authors present a quantum integrals identity and drive some new quantum integrals of Hermite–Hadamard-type inequalities involving generalized… read more here.

Keywords: generalized preinvex; hadamard type; new quantum; preinvex functions ... See more keywords

Hermite-Hadamard Type Inclusions for Interval-Valued Coordinated Preinvex Functions

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1 Published in 2022 at "Symmetry"

DOI: 10.3390/sym14040771

Abstract: The connection between generalized convexity and symmetry has been studied by many authors in recent years. Due to this strong connection, generalized convexity and symmetry have arisen as a new topic in the subject of… read more here.

Keywords: type inclusions; preinvex functions; interval valued; hadamard type ... See more keywords

Ostrowski Type Inequalities via Some Exponentially s-Preinvex Functions on Time Scales with Applications

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1 Published in 2023 at "Symmetry"

DOI: 10.3390/sym15020410

Abstract: Integral inequalities concerned with convexity have many applications in several fields of mathematics in which symmetry plays an important role. In the theory of convexity, there exist strong connections between convexity and symmetry. If we… read more here.

Keywords: preinvex functions; exponentially preinvex; functions time; type inequalities ... See more keywords