Results 71 to 80 of about 236,899 (174)

Regularity properties and integral inequalities related to (k; h1; h2)-convexity of functions

Annals of the West University of Timisoara: Mathematics and Computer Science, 2015
The class of (k; h1; h2)-convex functions is introduced, together with some particular classes of corresponding generalized convex dominated functions.
Cristescu Gabriela, Găianu Mihail, Muhammad Uzair Awan   +2 more
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On Extended General Mittag–Leffler Functions and Certain Inequalities

Fractal and Fractional, 2019
In this paper, we introduce and investigate generalized fractional integral operators containing the new generalized Mittag−Leffler function of two variables.
Marcela V. Mihai, Muhammad Uzair Awan, Muhammad Aslam Noor, Tingsong Du, Artion Kashuri, Khalida Inayat Noor   +5 more
doaj   +1 more source

Coincidence of Nodes for Generalized Convex Functions [PDF]

Canadian Mathematical Bulletin, 1980
In a recent paper [1] I. B. Lazarevic announced an extension of results of L. Tornheim [2; Theorems 2 & 3] concerning points of contact between two distinct members of an n-parameter family and between a member of an n-parameter family and a corresponding convex function.
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New Quantum Estimates of Trapezium-Type Inequalities for Generalized ϕ-Convex Functions

Mathematics, 2019
In this paper, a quantum trapezium-type inequality using a new class of function, the so-called generalized ϕ -convex function, is presented. A new quantum trapezium-type inequality for the product of two generalized ϕ -convex functions is ...
Miguel J. Vivas-Cortez, Rozana Liko, Artion Kashuri, Jorge E. Hernández Hernández   +3 more
doaj   +1 more source

(h−m) $(h-m)$-convex functions and associated fractional Hadamard and Fejér–Hadamard inequalities via an extended generalized Mittag-Leffler function

Journal of Inequalities and Applications, 2019
The aim of this paper is to present the Hadamard and the Fejér–Hadamard integral inequalities for (h−m) $(h-m)$-convex functions due to an extended generalized Mittag-Leffler function.
Shin Min Kang, Ghulam Farid, Waqas Nazeer, Sajid Mehmood   +3 more
doaj   +1 more source

Generalization of Completely Convex Functions [PDF]

Proceedings of the National Academy of Sciences, 1941
Boas, R. P. jun., Pólya, George
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Generalized inequalities for convex functions

Journal of Mathematical Extension, 2016
We investigate the fundamental inequalities for convex functions on the bounded closed interval of real numbers. Using the theory of positive linear functionals, we obtain the functional forms of inequalities as generalizations of the well-known inequalities. Our consideration includes the Jensen, Jensen-Mercer, Fejér and Hermite- Hadamard inequality.
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Fractional Hermite-Hadamard inequalities containing generalized Mittag-Leffler function

Journal of Inequalities and Applications, 2017
The objective of this paper is to establish some new refinements of fractional Hermite-Hadamard inequalities via a harmonically convex function with a kernel containing the generalized Mittag-Leffler function.
Marcela V Mihai, Muhammad Uzair Awan, Muhammad Aslam Noor, Khalida Inayat Noor   +3 more
doaj   +1 more source

Hadamard And Fejer-Hadamard Type Inequalities for Convex and Relative Convex Functions via an Extended Generalized Mittag-Leffler Function

International Journal of Analysis and Applications, 2019
In this paper, we will prove the Hadamard and the Fejer-Hadamard type integral inequalities for convex and relative convex functions due to an extended generalized Mittag-Leffler function.
Ghulam Farid, Vishnu Narayan Mishra, Sajid Mehmood   +2 more
doaj   +2 more sources

Generalized convex functions [PDF]

Bulletin of the American Mathematical Society, 1937
openaire   +2 more sources