Results 21 to 30 of about 69 (67)

On (α, m)-(β, F)-convex functions and related inequalities

Open Mathematics
In this paper, the authors first elaborate on the concept of (α, m)-(β, F)-convex functions, as a unification of (α, m)-convex and F-convex functions, then establish a series of integral inequalities of the Hermite–Hadamard type for (α, m)-(β, F)-convex ...
Wang Yan, Liu Xi-Min, Xi Bo-Yan, Qi Feng
doaj   +1 more source

Some new Fejér type inequalities for (h, g; α - m)-convex functions

Open Mathematics
The study of (h,g;α−m)\left(h,g;\hspace{1.42271pt}\alpha -m)-convex functions extends the classical concept of convexity to more generalized forms, which provide flexible tools for analysis.
Farid Ghulam, Kovač Sanja, Pečarić Josip, Penava Mihaela Ribičić   +3 more
doaj   +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  

Popoviciu type inequalities for n−convex functions via extension of weighted Montgomery identity [PDF]

In this article, we derive the Popoviciu-type inequalities by using the weighted version of the extension of Montgomery’s identity and Green functions. Some results for n-convex functions at a point are also obtained.
PEČARIĆ, Josip, NABI, Hira, KHAN, Asif R.   +2 more
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Some new Gronwall–Bellman–Pachpatte type integral inequalities

Open Mathematics
This paper establishes some Gronwall–Bellman–Pachpatte type integral inequalities that generalize some well-known earlier inequalities. It also shows that we can deal with such inequalities in various ways, resulting in different upper bounds.
Xie Wei, Hu Jingfei
doaj   +1 more source

Journal of Inequalities and Applications

, 2013
This paper investigates integral inequalities with delay for discontinuous functions involving two nonlinear terms. We do not require the classes ℘ and ȷ in Gallo and Piccirillo’s paper (Bound. Value Probl. 2009:808124, 2009).
Deng, Shengfu, Li, Xiaopei, Mi, Yuzhen
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Generalization of Some Inequalities for The Gamma Function

, 2020
An inequality involving the Euler gamma function is presented. This result generalizes several recently published results by C. Alsina and M.S. Tomás, N. V . Vinh, N. P. N. Ngoc.
Thao Hien, Nguyen Ngoc, Pham Thi, Nguyen Van Vinh, Ngo Phuoc   +4 more
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New developments of fractional integral inequalities and their applications [PDF]

In this paper, we propose the so-called higher order strongly m-polynomial exponentially type convex functions. Some of its algebraic properties are given and a new fractional integral identity is established.
NAÇO, Adrian, LIKO, Rozana, KASHURI, Artion   +2 more
core   +1 more source

New extensions related to Fejér-type inequalities for GA-convex functions

Demonstratio Mathematica
In this study, some mappings related to the Fejér-type inequalities for GAGA-convex functions are defined over the interval [0,1]{[}0,1]. Some Fejér-type inequalities for GAGA-convex functions are proved using these mappings. Properties of these mappings
Latif Muhammad Amer
doaj   +1 more source

Symmetrization Inequalities for Composition Operators of Carathéodory Type [PDF]

, 2017
Let F:(0, ∞) × [0, ∞) → R be a function of Carathéodory type. We establish the inequality $$ \int_{\mathbb{R}^{N}} F( | x |, u(x) ) dx \leq \int_{\mathbb{R}^{N} } F( | x |, u^{\ast}(x)) dx.
Stuart, C. A., Hajaiej, H.
core