Results 1 to 10 of about 40,195 (268)
Certain exponential type m-convexity inequalities for fractional integrals with exponential kernels
AIMS Mathematics, 2022 By applying exponential type $ m $-convexity, the Hölder inequality and the power mean inequality, this paper is devoted to conclude explicit bounds for the fractional integrals with exponential kernels inequalities, such as right-side Hadamard type ...
Hao Wang +3 more
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Exponential type convexity and some related inequalities [PDF]
Journal of Inequalities and Applications, 2020 In this manuscript, we give and study the concept of exponential type convex functions and some of their algebraic properties. We prove two Hermite–Hadamard (H-H) type integral inequalities for the newly introduced class of functions. We also obtain some
Mahir Kadakal, İmdat İşcan
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Some Hadamard-Type Integral Inequalities Involving Modified Harmonic Exponential Type Convexity
Axioms, 2023 The term convexity and theory of inequalities is an enormous and intriguing domain of research in the realm of mathematical comprehension. Due to its applications in multiple areas of science, the theory of convexity and inequalities have recently ...
Asif Ali Shaikh +4 more
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New inequalities via n-polynomial harmonically exponential type convex functions
AIMS Mathematics, 2020 In this work we introduced a new class of functions called n-polynomial harmonically exponential type convex and study some of their algebraic properties.
Wei Gao +5 more
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Hermite–Hadamard Type Inequalities via Generalized Harmonic Exponential Convexity and Applications [PDF]
Journal of Function Spaces, 2021 In this work, we introduce the idea and concept of m–polynomial p–harmonic exponential type convex functions. In addition, we elaborate the newly introduced idea by examples and some interesting algebraic properties.
Saad Ihsan Butt +4 more
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On inequalities of Hermite-Hadamard type via n-polynomial exponential type s-convex functions
AIMS Mathematics, 2022 In this paper, a new class of Hermite-Hadamard type integral inequalities using a strong type of convexity, known as n-polynomial exponential type s-convex function, is studied.
Muhammad Samraiz +4 more
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Positivity of Integrals for Higher Order $\nabla-$Convex and Completely Monotonic Functions [PDF]
Sahand Communications in Mathematical Analysis, 2022 We extend the definitions of $\nabla-$convex and completely monotonic functions for two variables. Some general identities of Popoviciu type integrals $\int P(y)f(y) dy$ and $\int \int P(y,z) f(y,z) dy dz$ are deduced.
Faraz Mehmood, Asif Khan, Muhammad Adnan
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Positive Semidefinite Matrices, Exponential Convexity for Majorization, and Related Cauchy Means
Journal of Inequalities and Applications, 2010 We prove positive semidefiniteness of matrices generated by differences deduced from majorization-type results which implies exponential convexity and log-convexity of these differences and also obtain Lyapunov's and Dresher's inequalities for ...
N. Latif +2 more
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Axioms, 2022 The main objective of this article is to introduce a new notion of convexity, i.e., modified exponential type convex function, and establish related fractional inequalities.
Muhammad Tariq +5 more
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, 2010 We introduce a notion of $k$-convexity and explore polygons in the plane that have this property. Polygons which are \mbox{$k$-convex} can be triangulated with fast yet simple algorithms. However, recognizing them in general is a 3SUM-hard problem.
Aichholzer, Oswin +5 more
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