Results 81 to 90 of about 893 (161)

On Fejér-type inequalities for generalized trigonometrically and hyperbolic k-convex functions

Demonstratio Mathematica
For μ∈C1(I)\mu \in {C}^{1}\left(I), μ>0\mu \gt 0, and λ∈C(I)\lambda \in C\left(I), where II is an open interval of R{\mathbb{R}}, we consider the set of functions f∈C2(I)f\in {C}^{2}\left(I) satisfying the second-order differential inequality ddtμdfdt+λf≥
Dragomir Silvestru Sever, Jleli Mohamed, Samet Bessem   +2 more
doaj   +1 more source

New Type Integral Inequalities for Three Times Differentiable Preinvex and Prequasiinvex Functions

Open Journal of Mathematical Analysis, 2018
In this paper, a new identity for functions defined on an open invex subset of set of real numbers is established, and by using the this identity and the Hölder and Power mean integral inequalities we present new type integral inequalities for functions ...
H. Kadakal, M. Kadakal, I. Işcan, Giresun University-Giresun-TÜRKİYE Arts   +3 more
semanticscholar   +1 more source

Some new Hermite-Hadamard-type inequalities for strongly h-convex functions on co-ordinates

Open Mathematics
In this article, we study some Hermite-Hadamard-type inequalities for strongly hh-convex functions on co-ordinates in Rn{{\mathbb{R}}}^{n}, which extend some known results. Some mappings connected with these inequalities and related applications are also
Hong Weizhi, Xu Yanran, Ruan Jianmiao, Ma Xinsheng   +3 more
doaj   +1 more source

Derivation of Hermite-Hadamard-Jensen-Mercer conticrete inequalities for Atangana-Baleanu fractional integrals by means of majorization

Demonstratio Mathematica
This article is mainly concerned to link the Hermite-Hadamard and the Jensen-Mercer inequalities by using majorization theory and fractional calculus. We derive the Hermite-Hadamard-Jensen-Mercer-type inequalities in conticrete form, which serve as both ...
Wu Shanhe, Khan Muhammad Adil, Faisal Shah, Saeed Tareq, Nwaeze Eze R.   +4 more
doaj   +1 more source

Generalizations of Steffensen’s inequality via the extension of Montgomery identity

Open Mathematics, 2018
In this paper, we obtained new generalizations of Steffensen’s inequality for n-convex functions by using extension of Montgomery identity via Taylor’s formula. Since 1-convex functions are nondecreasing functions, new inequalities generalize Stefensen’s
Aljinović Andrea Aglić, Pečarić Josip, Pribanić Anamarija Perušić   +2 more
doaj   +1 more source

Improvement of fractional Hermite-Hadamard type inequality for convex functions

, 2018
In this paper, it is proved that fractional Hermite-Hadamard inequality and fractional Hermite-Hadamard-Fejér inequality are just results of Hermite-Hadamard-Fejér inequality. After this, a new fractional Hermite-Hadamard inequality which is not a result
M. Kunt, I. Işcan, Sercan Turhan, Dünya Karapinar   +3 more
semanticscholar   +1 more source

Some Hermite-Hadamard type inequalities for n-time differentiable (α,m)-convex functions

Journal of Inequalities and Applications, 2012
In the paper, the famous Hermite-Hadamard integral inequality for convex functions is generalized to and refined as inequalities for n-time differentiable functions which are (α,m)-convex. MSC: 26D15, 26A51, 41A55.
Shuyang Bai, Shuhong Wang, Feng Qi (祁锋)   +2 more
semanticscholar   +1 more source

Majorization, “useful” Csiszár divergence and “useful” Zipf-Mandelbrot law

Open Mathematics, 2018
In this paper, we consider the definition of “useful” Csiszár divergence and “useful” Zipf-Mandelbrot law associated with the real utility distribution to give the results for majorizatioQn inequalities by using monotonic sequences.
Latif Naveed, Pečarić Đilda, Pečarić Josip   +2 more
doaj   +1 more source

Inequalities via s−convexity and log −convexity

Topological Algebra and its Applications, 2017
In this paper, we obtain some new inequalities for functions whose second derivatives’ absolute value is s−convex and log −convex. Also, we give some applications for numerical integration.
Akdemir Ahmet Ocak, Ardıç Merve Avcı, Özdemir M. Emin   +2 more
doaj   +1 more source

On some Hadamard-type inequalities for (h1,h2)-preinvex functions on the co-ordinates

, 2013
We introduce the class of (h1,h2)-preinvex functions on the co-ordinates, and we prove some new inequalities of Hermite-Hadamard and Fejér type for such mappings.MSC:26A15, 26A51, 52A30.
M. Matloka
semanticscholar   +1 more source