Results 231 to 240 of about 390 (251)

Estimates for Convex Integral Means of Harmonic Functions

Proceedings of the Edinburgh Mathematical Society, 2013
AbstractWe prove that if f is an integrable function on the unit sphere S in ℝn, g is its symmetric decreasing rearrangement and u, v are the harmonic extensions of f, g in the unit ball , then v has larger convex integral means over each sphere rS, 0 < r < 1, than u has.
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Harmonic Exponential Convex Functions and Inequalities

2019
In this chapter, we intend to introduce and study a new class of harmonic exponential h-convex functions. We show that this class includes several new and previously known classes of harmonic convex functions. We derive several Hermite–Hadamard type integral inequalities. Numerous special cases are also discussed.
Muhammad Uzair Awan, Muhammad Aslam Noor, Khalida Inayat Noor   +2 more
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Some properties of harmonic convex and harmonic quasi-convex functions

International Journal of Mathematics Trends and Technology, 2018
Masood Ahmed Choudhary, ToseefAhmed Malik   +1 more
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On a Conjecture Relative to the Maxima of Harmonic Functions on Convex Domains

SIAM Journal on Mathematical Analysis, 1999
Let \(u\) be a harmonic function defined on a bounded Jordan domain \(\Omega \) and satisfying the mixed boundary conditions \(u=0\) on \(\Gamma_0\), \((\partial u/\partial n)=1\) on \(\Gamma_1\), where \(\Gamma_1 \) is composed by a finite mumber of arcs of \(\partial \Omega \) and \(\Gamma_0 =\partial \Omega \setminus \Gamma_1 \), the length of ...
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Harmonic functions and convex representations of a free group

1991
Let \(F_ r\) denote the free group with \(r\) generators. The author specifies a natural concept of irreducibility of a function \(f\) on \(F_ r\) under right translation. On the other hand, if \(\Omega\) is the ``boundary'' of \(F_ r\), there is the set \(M(\Omega)\) of all probability measures on \(\Omega\) and the author proves that \(f\) is ...
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The Properties of Harmonically cr-h-Convex Function and Its Applications

Mathematics, 2022
Dafang Zhao, Guoju Ye, Fangfang Shi
exaly  

Harmonic Convex function and Harmonic Variational Inequalities

International Journal of Mathematics Trends and Technology, 2018
Masood Ahmed Choudhary, ToseefAhmed Malik   +1 more
openaire   +1 more source

On Ostrowski–Mercer inequalities for differentiable harmonically convex functions with applications

Mathematical Methods in the Applied Sciences, 2023
Muhammad Aamir Ali, Huseyin Budak, Muhammad Imran Asjad   +2 more
exaly  

Some New Hermite-Hadamard-Fejér Fractional Type Inequalities for h-Convex and Harmonically h-Convex Interval-Valued Functions

Mathematics, 2022
MIGUEL Vivas-Cortez, Humaira Kalsoom, Muhammad Amer Latif   +2 more
exaly  

A novel comprehensive analysis on generalized harmonically ψ‐convex with respect to Raina's function on fractal set with applications

Mathematical Methods in the Applied Sciences, 2023
Jagdev Singh, Saima Rashid, Yuming Chu   +2 more
exaly