Some new Hermite-Hadamard-type inequalities for strongly h-convex functions on co-ordinates
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+3 more
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Delta-Convexity With Given Weights
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
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Inequalities via s−convexity and log −convexity
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+2 more
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On Fejér-type inequalities for generalized trigonometrically and hyperbolic k-convex functions
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+2 more
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Improvement of fractional Hermite-Hadamard type inequality for convex functions
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+3 more
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Some Hermite-Hadamard type inequalities for n-time differentiable (α,m)-convex functions
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+2 more
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On parameterized inequalities for fractional multiplicative integrals
In this article, we present a one-parameter fractional multiplicative integral identity and use it to derive a set of inequalities for multiplicatively ss-convex mappings.
Zhu Wen Sheng+4 more
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On the characterization of Jensen m-convex polynomials
The main objective of this research is to characterize all the real polynomial functions of degree less than the fourth which are Jensen m-convex on the set of non-negative real numbers. In the first section, it is established for that class of functions
Lara Teodoro+3 more
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On some Hadamard-type inequalities for (h1,h2)-preinvex functions on the co-ordinates
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
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Optical soliton solutions of the coupled Radhakrishnan-Kundu-Lakshmanan equation by using the extended direct algebraic approach. [PDF]
Mahmood A+6 more
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