Results 51 to 60 of about 901 (142)

Hermite-Hadamard type inequalities for functions whose derivatives are ({\alpha},m)-convex [PDF]

, 2012
In this paper several inequalities of the right-hand side of Hermite-Hadamard inequality are obtained for the class of functions whose derivatives in absolutely value at certain powers are ({\alpha},m)-convex.Some applications to special means of ...
Işcan, Imdat
core  

On a generalization of the Opial inequality

Demonstratio Mathematica
Inequalities are essential in pure and applied mathematics. In particular, Opial’s inequality and its generalizations have been playing an important role in the study of the existence and uniqueness of initial and boundary value problems.
Bosch Paul, Portilla Ana, Rodriguez Jose M., Sigarreta Jose M.   +3 more
doaj   +1 more source

Schur-power convexity of integral mean for convex functions on the coordinates

Open Mathematics, 2023
In this article, we investigate the concepts of monotonicity, Schur-geometric convexity, Schur-harmonic convexity, and Schur-power convexity for the lower and upper limits of the integral mean, focusing on convex functions on coordinate axes. Furthermore,
Shi Huannan, Zhang Jing
doaj   +1 more source

Hermite-Hadamard's inequalities for prequasiinvex functions via fractional integrals [PDF]

arXiv, 2012
In this paper, we extend some estimates of the right hand side of a Hermite-Hadamard type inequality for prequasiinvex functions via fractional integrals.
arxiv  

Hermite-Hadamard type inequalities for harmonically convex functions [PDF]

arXiv, 2013
The author introduce the concept of harmonically convex functions and establish some Hermite-Hadamard type inequalities of these classes of ...
arxiv  

Steklov Type Operators and Functional Equations

Annales Mathematicae Silesianae
We consider sequences of Steklov type operators and an associated functional equation. For a suitable sequence, we establish asymptotic formulas.
Motronea Gabriela, Popa Dorian, Raşa Ioan   +2 more
doaj   +1 more source

Ostrowski type inequalities for harmonically s-convex functions [PDF]

arXiv, 2013
The author introduces the concept of harmonically s-convex functions and establishes some Ostrowski type inequalities and Hermite-Hadamard type inequality of these classes of functions.
arxiv  

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

Symmetrized p-convexity and Related Some Integral Inequalities [PDF]

arXiv, 2019
In this paper, the author introduces the concept of the symmetrized p-convex function, gives Hermite-Hadamard type inequalities for symmetrized p-convex functions.
arxiv  

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