Results 21 to 30 of about 2,333 (219)

Some Fractional Hermite–Hadamard Type Inequalities for Interval-Valued Functions

Mathematics, 2020
In this paper, firstly we prove the relationship between interval h-convex functions and interval harmonically h-convex functions. Secondly, several new Hermite–Hadamard type inequalities for interval h-convex functions via interval Riemann–Liouville ...
Fangfang Shi, Guoju Ye, Dafang Zhao, Wei Liu   +3 more
doaj   +1 more source

Generalized Hermite-Hadamard type inequalities for differentiable harmonically-convex and harmonically quasi-convex functions [PDF]

Journal of Mathematical Inequalities, 2021
Summary: Some new Hermite-Hadamard type inequalities for differentiable harmonically-convex and harmonically quasi-convex functions have been discussed, generalizing some existing results in literature. For validity of the results some numerically examples are given.
Latif, Muhammad Amer, Hussain, Sabir, Chu, Yu-Ming   +2 more
openaire   +1 more source

Some Integral Inequalities for Harmonically (α,s)-Convex Functions

Journal of Function Spaces, 2019
In the paper, the author introduces a new class of harmonically convex functions, which is called harmonically α,s-convex functions and establishes some new integral inequalities of the Hermite-Hadamard type for harmonically α,s-convex functions.
Serap Özcan
doaj   +1 more source

Injectivity of sections of convex harmonic mappings and convolution theorems [PDF]

, 2015
In the article the authors consider the class ${\mathcal H}_0$ of sense-preserving harmonic functions $f=h+\overline{g}$ defined in the unit disk $|z|
A. W. Goodman, C. Pommerenke, G. Szegő, H. Lewy, H. Silverman, J. Clunie, L. Li, L. Li, L. Li, L. Li, Liulan Li, M. Dorff, M. Dorff, M. J. Dorff, M. Obradovich, M. Obradović, M. Obradović, M. Obradović, M. S. Robertson, M. S. Robertson, P. L. Duren, P. L. Duren, P. L. Duren, R. Fournier, R. Singh, S. Ponnusamy, S. Ponnusamy, S. Ponnusamy, S. Ruscheweyh, S. Ruscheweyh, S. Ruscheweyh, S. V. Bharanedhar, Saminathan Ponnusamy, T. H. MacGregor, W. C. Royster, W. Hengartner, Y. Miki   +36 more
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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

Harmonic mappings of an annulus, Nitsche conjecture and its generalizations [PDF]

, 2009
As long ago as 1962 Nitsche conjectured that a harmonic homeomorphism $h \colon A(r,R) \to A(r_*, R_*)$ between planar annuli exists if and only if $\frac{R_*}{r_*} \ge {1/2} (\frac{R}{r} + \frac{r}{R})$.
Iwaniec, Tadeusz, Kovalev, Leonid V., Onninen, Jani   +2 more
core   +4 more sources

Hermite-Hadamard type inequalities for p-convex functions via fractional integrals

Moroccan Journal of Pure and Applied Analysis, 2017
In this paper, we present Hermite-Hadamard inequality for p-convex functions in fractional integral forms. we obtain an integral equality and some Hermite-Hadamard type integral inequalities for p-convex functions in fractional integral forms.
Kunt Mehmet, İşcan İmdat
doaj   +1 more source

Hermite-Hadamard inequalities for exponential type harmonically $ ( \alpha, s)_{h}$-convex functions [PDF]

Journal of Mahani Mathematical Research
In this paper, the authors study and introduce some new integral forms of Hermite-Hadamard inequalities in the form of harmonically convex functions known as exponential type harmonically $ (\alpha, s)_{h}$-convex function.
Kemi Apanpa, Adesanmi Mogbademu, Johnson Olalerun   +2 more
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Directional Convexity of Convolutions of Harmonic Functions

International Journal of Mathematics and Mathematical Sciences, 2019
Harmonic functions can be constructed using two analytic functions acting as their analytic and coanalytic parts but the prediction of the behavior of convolution of harmonic functions, unlike the convolution of analytic functions, proved to be challenging.
Jay M. Jahangiri, Raj Kumar Garg
openaire   +2 more sources

Trapezoidal Type Fejér Inequalities Related to Harmonically Convex Functions and Application

Journal of Function Spaces, 2019
Some authors introduced the concepts of the harmonically arithmetic convex functions and establish some integral inequalities of Hermite Hadamard Fejér type related to the harmonically arithmetic convex functions.
Sercan Turhan
doaj   +1 more source