Some Novel Inequalities for Godunova–Levin Preinvex Functions via Interval Set Inclusion (⊆) Relation
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DOI: 10.1155/jom/5570638
Abstract: In this note, we introduce the concept of ℏ‐Godunova–Levin interval‐valued preinvex functions. As a result of these novel notions, we have developed several variants of Hermite–Hadamard and Fejér‐type inequalities under inclusion order relations. Furthermore, we… read more here.
Keywords: interval; godunova levin; inclusion; inequalities godunova ... See more keywords
New local fractional Hermite-Hadamard-type and Ostrowski-type inequalities with generalized Mittag-Leffler kernel for generalized h-preinvex functions
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DOI: 10.1515/dema-2023-0128
Abstract: Abstract In this study, based on two new local fractional integral operators involving generalized Mittag-Leffler kernel, Hermite-Hadamard inequality about these two integral operators for generalized h h -preinvex functions is obtained. Subsequently, an integral identity… read more here.
Keywords: type; new local; generalized mittag; local fractional ... See more keywords
On γ-preinvex functions
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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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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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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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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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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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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