Results 111 to 120 of about 2,843 (179)

New local fractional Hermite-Hadamard-type and Ostrowski-type inequalities with generalized Mittag-Leffler kernel for generalized h-preinvex functions

Demonstratio Mathematica
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 hh-preinvex functions is obtained.
Sun Wenbing, Wan Haiyang
doaj   +1 more source

New extensions related to Fejér-type inequalities for GA-convex functions

Demonstratio Mathematica
In this study, some mappings related to the Fejér-type inequalities for GAGA-convex functions are defined over the interval [0,1]{[}0,1]. Some Fejér-type inequalities for GAGA-convex functions are proved using these mappings. Properties of these mappings
Latif Muhammad Amer
doaj   +1 more source

Adaptive Integration of Convex Functions of One Real Variable

Annales Mathematicae Silesianae
We present an adaptive method of approximate integration of convex (as well as concave) functions based on a certain refinement of the celebrated Hermite–Hadamard inequality. Numerical experiments are performed and the role of harmonic numbers is shown.
Wąsowicz Szymon
doaj   +1 more source

A new extended Mulholland's inequality involving one partial sum

Open Mathematics
By using the weight coefficients and the techniques of real analysis, a new extended Mulholland’s inequality with multi-parameters involving one partial sum is given. The equivalent statements of the best value related to several parameters are provided.
Peng Ling, Yang Bicheng
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Converses of nabla Pachpatte-type dynamic inequalities on arbitrary time scales

Demonstratio Mathematica
Reverse Pachpatte-type inequalities are concave generalizations of the well-known Bennett-Leindler-type inequalities. We establish reverse nabla Pachpatte-type dynamic inequalities taking account of concavity.
Kayar Zeynep, Kaymakçalan Billur
doaj   +1 more source

Some new results on convex sequences. [PDF]

J Inequal Appl, 2017
Bor H.
europepmc   +1 more source

Hermite-Hadamard-type inequalities for generalized trigonometrically and hyperbolic ρ-convex functions in two dimension

Open Mathematics
In this article, we establish Hermite-Hadamard-type inequalities for the two classes of functions X±λ(Ω)={f∈C2(Ω):Δf±λf≥0}{X}_{\pm \lambda }\left(\Omega )=\{f\in {C}^{2}\left(\Omega ):\Delta f\pm \lambda f\ge 0\}, where λ>0\lambda \gt 0 and Ω\Omega is ...
Dragomir Silvestru Sever, Jleli Mohamed, Samet Bessem   +2 more
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A Cauchy type inequality for Möbius operations. [PDF]

J Inequal Appl, 2018
Watanabe K.
europepmc   +1 more source

Some notes about one inequality with power functions. [PDF]

J Inequal Appl, 2018
Matejíčka L.
europepmc   +1 more source

Different types of quantum integral inequalities via ( α , m ) -convexity. [PDF]

J Inequal Appl, 2018
Zhang Y, Du TS, Wang H, Shen YJ.
europepmc   +1 more source