Results 21 to 30 of about 452,551 (268)

Some inequalities for strongly $(p,h)$-harmonic convex functions

Karpatsʹkì Matematičnì Publìkacìï, 2019
In this paper, we show that harmonic convex functions $f$ is strongly $(p, h)$-harmonic convex functions if and only if it can be decomposed as $g(x) = f(x) - c (\frac{1}{x^p})^2,$ where $g(x)$ is $(p, h)$-harmonic convex function.
M.A. Noor, K.I. Noor, S. Iftikhar
doaj   +1 more source

A Comprehensive Review of the Hermite–Hadamard Inequality Pertaining to Fractional Integral Operators

Mathematics, 2023
In the frame of fractional calculus, the term convexity is primarily utilized to address several challenges in both pure and applied research. The main focus and objective of this review paper is to present Hermite–Hadamard (H-H)-type inequalities ...
Muhammad Tariq, Sotiris K. Ntouyas, Asif Ali Shaikh   +2 more
doaj   +1 more source

Strongly Reciprocally p-Convex Functions and Some Inequalities

Journal of Mathematics, 2020
In this paper, we generalize the concept of strong and reciprocal convexity. Some basic properties and results will be presented for the new class of strongly reciprocally p-convex functions. Furthermore, we will discuss the Hermite–Hadamard-type, Jensen-
Hao Li, Muhammad Shoaib Saleem, Ijaz Hussain, Muhammad Imran   +3 more
doaj   +1 more source

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   +1 more source

On p-harmonic maps and convex functions [PDF]

, 2010
We prove that, in general, given a $p$-harmonic map $F:M\to N$ and a convex function $H:N\to\mathbb{R}$, the composition $H\circ F$ is not $p$-subharmonic.
Veronelli, Giona
core   +1 more source

On new fractional integral inequalities for p-convexity within interval-valued functions [PDF]

Advances in Difference Equations, 2020
AbstractThis work mainly investigates a class of convex interval-valued functions via the Katugampola fractional integral operator. By considering thep-convexity of the interval-valued functions, we establish some integral inequalities of the Hermite–Hadamard type and Hermite–Hadamard–Fejér type as well as some product inequalities via the Katugampola ...
Thabet Abdeljawad, Saima Rashid, Hasib Khan, Yu‐Ming Chu   +3 more
openaire   +3 more sources

Hermite–Hadamard type inequalities for exponentially p-convex functions and exponentially s-convex functions in the second sense with applications

Journal of Inequalities and Applications, 2019
In this paper, we introduce the notion of exponentially p-convex function and exponentially s-convex function in the second sense. We establish several Hermite–Hadamard type inequalities for exponentially p-convex functions and exponentially s-convex ...
Naila Mehreen, Matloob Anwar
doaj   +1 more source

Convexity and singularities of curvature equations in conformal geometry [PDF]

, 2006
We define a generalization of convex functions, which we call $\delta$-convex functions, and show they must satisfy interior H\"older and $W^{1,p}$ estimates.
Gursky, Matthew, Viaclovsky, Jeff
core   +1 more source

Properties of certain p-valently convex functions

International Journal of Mathematics and Mathematical Sciences, 2003
A subclass 𝒞p(λ,μ)(p∈ℕ ...
Dinggong Yang, Shigeyoshi Owa
doaj   +1 more source

Some integral inequalities for p-convex functions

Filomat, 2016
In this paper, we consider the class of p-convex functions. We derive some new integral inequalities of Hermite-Hadamard and Simpson type for differentiable p-convex functions using two new integral identities. Some special cases are also discussed.
Muhammad Noor, Muhammad Awan, Khalida Noor, Mihai Postolache   +3 more
openaire   +2 more sources