Results 81 to 90 of about 11,007,602 (126)

Some new inequalities of Hermite-Hadamard type for s-convex functions with applications

open access: yes, 2017
In this paper, we present several new and generalized Hermite-Hadamard type inequalities for s-convex as well as s-concave functions via classical and Riemann-Liouville fractional integrals.
M. Khan, Y. Chu, T. Khan, Jamroz Khan
semanticscholar   +1 more source

\(h\)-strongly \(E\)-convex functions

open access: yesJournal of Numerical Analysis and Approximation Theory, 2011
Starting from strongly \(E\)-convex functions introduced by E. A. Youness, and T. Emam, from \(h\)-convex functionsintroduced by S. Varošanec and from the more general conceptof \(h\)-convex functions introduced by A.
Daniela Marian
doaj   +2 more sources

Generalized Petrovic’s Inequalities for Coordinated Exponentially m-Convex Functions

open access: yesInternational Journal of Analysis and Applications, 2021
In this paper, we introduce a new class of convex function, which is called coordinated exponentially m-convex functions. Some new Petrovic’s type inequalities for exponentially m-convex functions and coordinated exponentially m-convex functions are ...
Wasim Iqbal   +3 more
doaj  

On HT-convexity and Hadamard-type inequalities

open access: yesJournal of Inequalities and Applications, 2020
In the paper, the authors define a new notion of “HT-convex function”, present some Hadamard-type inequalities for the new class of HT-convex functions and for the product of any two HT-convex functions, and derive some inequalities for the arithmetic ...
Shu-Ping Bai, Shu-Hong Wang, Feng Qi
doaj   +1 more source

Several complementary inequalities to inequalities of Hermite-Hadamard type for s-convex functions

open access: yes, 2016
In this paper, we establish some new Hermite-Hadamard inequalities for s-convex functions via fractional integrals. Some Hermite-Hadamard type inequalities for products of two convex and s-convex functions via Riemann-Liouville integrals are also ...
Feixiang Chen, Shanhe Wu
semanticscholar   +1 more source

Log m-Convex Functions

open access: yesMoroccan Journal of Pure and Applied Analysis, 2019
In this research we lay the concept of log m-convex functions defined on real intervals containing the origin, some algebraic properties are exhibit, in the same token discrete Jensen type inequalities and integral inequalities are set and shown.
Lara Teodoro, Rosales Edgar
doaj   +1 more source

Some types of convex functions on networks

open access: yesJournal of Numerical Analysis and Approximation Theory, 2009
We present and study some kinds of convex functions defined on undirected networks. The relations between these concepts are also presented. We adopt the definition of network as metric space used by Dearing P. M. and Francis R. L. in 1974.
Daniela Marian
doaj   +2 more sources

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

open access: yesKarpatsʹkì 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

Quasi-convex univalent functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1980
In this paper, a new class of normalized univalent functions is introduced. The properties of this class and its relationship with some other subclasses of univalent functions are studied. The functions in this class are close-to-convex.
K. Inayat Noor, D. K. Thomas
doaj   +1 more source

On logarithmic coefficients of some close-to-convex functions

open access: yes, 2016
The logarithmic coefficients $\gamma_n$ of an analytic and univalent function $f$ in the unit disk $\mathbb{D}=\{z\in\mathbb{C}:|z|
Ali, Md Firoz, Vasudevarao, A.
core   +1 more source

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