Results 11 to 20 of about 3,097 (177)

Hermite–Hadamard–Fejér type inequalities for p-convex functions

Arab Journal of Mathematical Sciences, 2017
In this paper, firstly, Hermite–Hadamard–Fejér type inequalities for p-convex functions are built. Secondly, an integral identity and some Hermite–Hadamard–Fejér type integral inequalities for p-convex functions are obtained.
Mehmet Kunt, İmdat İşcan
doaj   +2 more sources

On Upper Estimations of Hermite–Hadamard Inequalities

Mathematics
Convex functions play a key role in many branches of pure and applied mathematics. In this paper, we prove that if a convex function is not continuous, then the classical Hermite–Hadamard inequality, the Hermite–Hadamard inequality for the Riemann ...
Yasin Kaya
doaj   +2 more sources

More About Hermite-Hadamard Inequalities, Cauchy's Means, and Superquadracity

Journal of Inequalities and Applications, 2010
New results associated with Hermite-Hadamard inequalities for superquadratic functions are given. A set of Cauchy's type means is derived from these Hermite-Hadamard-type inequalities, and its log-convexity and monotonicity are proved.
Farid G, Pečarić J, Abramovich S   +2 more
doaj   +1 more source

Hermite-Hadamard inequalities and their applications. [PDF]

J Inequal Appl, 2018
New Hermite–Hadamard type inequalities are established.
Mihai MV, Awan MU, Noor MA, Kim JK, Noor KI.   +4 more
europepmc   +2 more sources

Hermite–Hadamard-type inequalities for geometrically r-convex functions in terms of Stolarsky’s mean with applications to means

Advances in Difference Equations, 2021
In this paper, we obtain new Hermite–Hadamard-type inequalities for r-convex and geometrically convex functions and, additionally, some new Hermite–Hadamard-type inequalities by using the Hölder–İşcan integral inequality and an improved power-mean ...
Muhammad Amer Latif
doaj   +1 more source

Some Hermite–Jensen–Mercer type inequalities for k-Caputo-fractional derivatives and related results

Advances in Difference Equations, 2020
In this paper, certain Hermite–Hadamard–Mercer type inequalities are proved via k-Caputo fractional derivatives. We established some new k-Caputo fractional derivatives inequalities with Hermite–Hadamard–Mercer type inequalities for differentiable ...
Shupeng Zhao, Saad Ihsan Butt, Waqas Nazeer, Jamshed Nasir, Muhammad Umar, Ya Liu   +5 more
doaj   +1 more source

Post-quantum Hermite–Hadamard type inequalities for interval-valued convex functions

Journal of Inequalities and Applications, 2021
In this research, we introduce the notions of ( p , q ) $(p,q)$ -derivative and integral for interval-valued functions and discuss their fundamental properties.
Muhammad Aamir Ali, Hüseyin Budak, Ghulam Murtaza, Yu-Ming Chu   +3 more
doaj   +1 more source

Jensen–Mercer and Hermite–Hadamard–Mercer Type Inequalities for GA-h-Convex Functions and Its Subclasses with Applications

Mathematics, 2023
Many researchers have been attracted to the study of convex analysis theory due to both facts, theoretical significance, and the applications in optimization, economics, and other fields, which has led to numerous improvements and extensions of the ...
Asfand Fahad, Ayesha, Yuanheng Wang, Saad Ihsaan Butt   +3 more
doaj   +1 more source

On the Hermite-Hadamard Inequality and Other Integral Inequalities Involving Two Functions [PDF]

, 2009
We establish some new Hermite-Hadamard-type inequalities involving product of two functions. Other integral inequalities for two functions are obtained as well.
Ozdemir, M, Özdemir, M. Emin, Sever S. Dragomir, Set, Erhan, MEmin Özdemir, Dragomir, Sever S., Dragomir, Sever S, Set, E, Erhan Set, SeverS Dragomir, M. Emin Özdemir, Ozdemir, Emin   +11 more
core   +1 more source

Hermite-Hadamard type inequalities and related inequalities for subadditive functions [PDF]

, 2021
In this paper, we establish Hermite-Hadamard inequalities for subadditive functions, and we give some related inequalities according to Hermite-Hadamard inequalities, which generalized the previously published ...
Sarıkaya, Mehmet Zeki, Ali, Muhammad Aamir, Sarikaya, Mehmet Zeki   +2 more
core   +1 more source