Results 31 to 40 of about 904 (160)

Delta-Convexity With Given Weights

open access: yesAnnales Mathematicae Silesianae, 2020
Some differentiability results from the paper of D.Ş. Marinescu & M. Monea [7] on delta-convex mappings, obtained for real functions, are extended for mappings with values in a normed linear space.
Ger Roman
doaj   +1 more source

Sugeno Integral for Hermite–Hadamard Inequality and Quasi-Arithmetic Means

open access: yesAnnales Mathematicae Silesianae, 2023
In this paper, we present the Sugeno integral of Hermite–Hadamard inequality for the case of quasi-arithmetically convex (q-ac) functions which acts as a generator for all quasi-arithmetic means in the frame work of Sugeno integral.
Nadhomi Timothy
doaj   +1 more source

Improved Jensen's inequality

open access: yes, 2017
In this article we present refinements of Jensen’s inequality and its reversal for convex functions, by adding as many refining terms as we wish. Then as a standard application, we present several refinements and reverses of well known mean inequalities.
Mohammad Sababheh
semanticscholar   +1 more source

New Inequalities of Simpson’s type for differentiable functions via generalized convex function

open access: yes, 2021
This article presents some new inequalities of Simpson’s type for differentiable functions by using (α,m)-convexity. Some results for concavity are also obtained. These new estimates improve on the previously known ones.
Shan E. Farooq   +4 more
semanticscholar   +1 more source

Some new inequalities of Hermite-Hadamard type for s-convex functions with applications

open access: yesOpen Mathematics, 2017
In this paper, we present several new and generalized Hermite-Hadamard type inequalities for s-convex as well as s-concave functions via classical and Riemann-Liouville fractional integrals.
Khan Muhammad Adil   +3 more
doaj   +1 more source

On some new Hermite-Hadamard inequalities involving Riemann-Liouville fractional integrals

open access: yes, 2013
In this paper, three fundamental and important Riemann-Liouville fractional integral identities including a twice differentiable mapping are established. Secondly, some interesting Hermite-Hadamard type inequalities involving Riemann-Liouville fractional
Yuruo Zhang, Jinrong Wang
semanticscholar   +1 more source

Ostrowski-type inequalities via h-convex functions with applications to special means [PDF]

open access: yes, 2012
In this paper, we establish some new Ostrowski-type inequalities for absolutely continuous mappings whose first derivatives in absolute value are h-convex (resp. h-concave) and which are super-multiplicative or super-additive.
Mevlut Tunc
semanticscholar   +1 more source

Refinement of Jensen Mercer and Hermite–Hadamard-Mercer type inequalities for generalized convex functions on co-ordinates with their computational analysis

open access: yesAnnals of Mathematics and Physics
In the current study, the Jensen-Mercer inequality is extended to co-ordinated h-convex functions. Additionally, a novel inequality is employed to derive Hermite–Hadamard-Mercer type inequalities for h-convex functions defined on the co-ordinates of a ...
Toseef Muhammad   +4 more
semanticscholar   +1 more source

SOME NEW INEQUALITIES OF HERMITE-HADAMARD TYPE FOR s-CONVEX FUNCTIONS

open access: yes, 2015
Some new results related of the left-hand side of the Hermite-Hadamard type inequal- ities for the class of mappings whose second derivatives at certain powers are s convex in the second sense are established.
M. Sarıkaya, Mehmet Ey, Up Kiris
semanticscholar   +1 more source

Erratum: Simpson type quantum integral inequalities for convex functions

open access: yesMiskolc Mathematical Notes, 2021
. We have shown that the results of [4] were wrong. Additionally, correct results con-cerning the Simpson type quantum integral inequalities are proved. 26D10, 26A51,
Necmettin Alp
semanticscholar   +1 more source

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