Results 21 to 30 of about 250,699 (239)

The Properties of Harmonically cr-h-Convex Function and Its Applications

open access: yesMathematics, 2022
In this paper, the definition of the harmonically cr-h-convex function is given, and its important properties are discussed. Jensen type inequality, Hermite–Hadamard type inequalities and Fejér type inequalities for harmonically cr-h-convex functions are
Wei Liu   +3 more
doaj   +2 more sources

Novel Refinements via n–Polynomial Harmonically s–Type Convex Functions and Application in Special Functions

open access: yesJournal of Function Spaces, 2021
In this work, we introduce the idea of n–polynomial harmonically s–type convex function. We elaborate the new introduced idea by examples and some interesting algebraic properties.
Saad Ihsan Butt   +3 more
doaj   +2 more sources

Fejer Type Inequalities for Harmonically (s,m)-Convex Functions [PDF]

open access: yesInternational Journal of Analysis and Applications, 2016
In this paper, a new weighted identity involving harmonically symmetric functions and differentiable functions is established. By using the notion of harmonic symmetricity, harmonic (s,m)-convexity, analysis and some auxiliary results, some new Fejér ...
Imran Abbas Baloch   +2 more
doaj   +4 more sources

Some Fejer Type Inequalities for Harmonically-Convex Functions with Applications to Special Means [PDF]

open access: yesInternational Journal of Analysis and Applications, 2017
In this paper, the notion of harmonic symmetricity of functions is introduced. A new identity involving harmonically symmetric functions is established and some new Fejer type integral inequalities are presented for the class of harmonically convex ...
M. A. Latif, S. S. Dragomir, E. Momoniat
doaj   +3 more sources

On new inequalities of Hermite-Hadamard-Fejer type for harmonically convex functions via fractional integrals. [PDF]

open access: yesSpringerplus, 2016
Gozutok, Ugur/0000-0002-6072-3134; Kunt, Mehmet/0000-0002-8730-5370; iscan, imdat/0000-0001-6749-0591WOS: 000376453700006PubMed: 27330901In this paper, firstly, new Hermite-Hadamard type inequalities for harmonically convex functions in fractional ...
Kunt M   +3 more
europepmc   +3 more sources

Hermite-Hadamard Type Inequalities For The Interval-Valued Harmonically h-Convex Functions Via Fractional Integrals [PDF]

open access: yes, 2021
In this paper, we first present a new definition of convex interval-valued functions which is called as interval-valued harmonically h-convex functions.
Ali, Muhammad Aamir   +3 more
core   +6 more sources

Hermite-Hadamard inequality for product of (h1, h2, s)-convex and m-harmonically convex function [PDF]

open access: yes, 2023
In this paper, a new definition of (m, h1 , h2 , s) -Harmonically convex function is introduced by combining m-convex, 1 2 (h , h ) -convex, s-convex, and harmonically convex function.
Sabir Yasin   +5 more
core   +1 more source

Directional Convexity of Harmonic Mappings [PDF]

open access: yesBulletin of the Malaysian Mathematical Sciences Society, 2017
The convolution properties are discussed for the complex-valued harmonic functions in the unit disk $\mathbb{D}$ constructed from the harmonic shearing of the analytic function $ϕ(z):=\int_0^z (1/(1-2ξ\textit{e}^{\textit{i}μ}\cosν+ξ^2\textit{e}^{2\textit{i}μ}))\textit{d}ξ$, where $μ$ and $ν$ are real numbers.
Beig, Subzar, Ravichandran, V.
openaire   +3 more sources

Convex Shapes and Harmonic Caps [PDF]

open access: yesArnold Mathematical Journal, 2017
Any planar shape $P\subset \mathbb{C}$ can be embedded isometrically as part of the boundary surface $S$ of a convex subset of $\mathbb{R}^3$ such that $\partial P$ supports the positive curvature of $S$. The complement $Q = S \setminus P$ is the associated {\em cap}.
DeMarco, Laura, Lindsey, Kathryn
openaire   +3 more sources

Harmonic close‐to‐convex mappings [PDF]

open access: yesInternational Journal of Stochastic Analysis, 2000
Sufficient coefficient conditions for complex functions to be close‐to‐convex harmonic or convex harmonic are given. Construction of close‐to‐convex harmonic functions is also studied by looking at transforms of convex analytic functions. Finally, a convolution property for harmonic functions is discussed.
Jahangiri, Jay M., Silverman, Herb
openaire   +2 more sources

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