Results 51 to 60 of about 340 (177)

Some Hermite-Hadamard type inequalities for functions whose exponentials are convex [PDF]

, 2015
Some inequalities of Hermite-Hadamard type for functions whose ex- ponentials are convex are obtained.
GOMM, Ian, DRAGOMIR, Silvestru Sever
core  

Refinements of quantum Hermite-Hadamard-type inequalities

Open Mathematics, 2021
In this paper, we first obtain two new quantum Hermite-Hadamard-type inequalities for newly defined quantum integral. Then we establish several refinements of quantum Hermite-Hadamard inequalities.
Budak Hüseyin, Khan Sundas, Ali Muhammad Aamir, Chu Yu-Ming   +3 more
doaj   +1 more source

An Elementary Proof for the Decomposition Theorem of Wright Convex Functions

Annales Mathematicae Silesianae, 2020
The main goal of this paper is to give a completely elementary proof for the decomposition theorem of Wright convex functions which was discovered by C. T. Ng in 1987. In the proof, we do not use transfinite tools, i.e., variants of Rodé’s theorem, or de
Páles Zsolt
doaj   +1 more source

On a new generalization of some Hilbert-type inequalities

Open Mathematics, 2021
In this work, by introducing several parameters, a new kernel function including both the homogeneous and non-homogeneous cases is constructed, and a Hilbert-type inequality related to the newly constructed kernel function is established.
You Minghui, Song Wei, Wang Xiaoyu
doaj   +1 more source

Some New Integral Inequalities via Strong Convexity

Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.
We prove some new refined inequalities by using strong convexity. Some refinements of the Chebyšhev’s inequality are considered.
Markos Fisseha Yimer, Zhihua Zhang
wiley   +1 more source

On discrete inequalities for some classes of sequences

Open Mathematics
For a given sequence a=(a1,…,an)∈Rna=\left({a}_{1},\ldots ,{a}_{n})\in {{\mathbb{R}}}^{n}, our aim is to obtain an estimate of En≔a1+an2−1n∑i=1nai{E}_{n}:= \left|\hspace{-0.33em},\frac{{a}_{1}+{a}_{n}}{2}-\frac{1}{n}{\sum }_{i=1}^{n}{a}_{i},\hspace{-0 ...
Jleli Mohamed, Samet Bessem
doaj   +1 more source

Some new parameterized inequalities for co-ordinated convex functions involving generalized fractional integrals

Open Mathematics, 2021
In this study, we first obtain a new identity for generalized fractional integrals which contains some parameters. Then by this equality, we establish some new parameterized inequalities for co-ordinated convex functions involving generalized fractional ...
Kalsoom Humaira, Budak Hüseyin, Kara Hasan, Ali Muhammad Aamir   +3 more
doaj   +1 more source

Refined and Generalized Versions of Hölder’s Inequality via Schur Convexity of Functions

Journal of Function Spaces, Volume 2025, Issue 1, 2025.
In this paper, we introduce a class of functions associated with Hölder’s inequality and show the Schur convexities of these functions. With the help of Schur convexity, several improved versions of Hölder’s inequality are established. The results obtained here are the generalizations and refinements of the existing results for Hölder’s inequality.
Shanhe Wu, Raúl E. Curto
wiley   +1 more source

Some new integral inequalities of Hermite-Hadamard type for (log; (α;m))-convex functions on coordinates [PDF]

, 2015
In the paper, the authors introduce a new concept "log; (α;m))-convex functions on the co-ordinates on the rectangle of the plane" and establish some new integral inequalities of Hermite-Hadamard type for (log; (α;m))-convex functions on the co-ordinates
XI, Bo-Yan, QI, Feng
core  

Weighted Hermite-Hadamard-type inequalities without any symmetry condition on the weight function

Open Mathematics
We establish weighted Hermite-Hadamard-type inequalities for some classes of differentiable functions without assuming any symmetry property on the weight function.
Jleli Mohamed, Samet Bessem
doaj   +1 more source