Results 31 to 40 of about 302 (49)

Hyers-Ulam stability of Davison functional equation on restricted domains

Demonstratio Mathematica
In this article, we study the Hyers-Ulam stability of Davison functional equation f(xy)+f(x+y)=f(xy+x)+f(y)f\left(xy)+f\left(x+y)=f\left(xy+x)+f(y) on some unbounded restricted domains.
Park Choonkil, Tareeghee Mohammad Amin, Najati Abbas, Noori Batool   +3 more
doaj   +1 more source

Midpoint-type integral inequalities for (s, m)-convex functions in the third sense involving Caputo fractional derivatives and Caputo–Fabrizio integrals

Applied Mathematics in Science and Engineering
In this study, midpoint-type integral inequalities for [Formula: see text]-convex function in the third sense, involving Caputo fractional derivatives and Caputo–Fabrizio integral operators, are demonstrated.
Khuram Ali Khan, Iqra Ikram, Ammara Nosheen, Ndolane Sene, Y. S. Hamed   +4 more
doaj   +1 more source

Representation formula for the entropy and functional inequalities [PDF]

arXiv, 2010
We prove a stochastic formula for the Gaussian relative entropy in the spirit of Borell's formula for the Laplace transform. As an application, we give unified and short proofs of a number of functional inequalities.
arxiv  

A note on Khabibullin's conjecture for integral inequalities [PDF]

arXiv, 2010
An integral transformation relating two inequalities in Khabibullin's conjecture is found. Another proof of this conjecture for some special values of its numeric parameters is suggested.
arxiv  

Hardy Inequalities in General Domains [PDF]

arXiv, 2013
Key Words: Hardy inequalities, Sobolev inequalities, Morrey inequality, distance function, mean curvature, best constants, semi-concavity, sets with positive reach, mean convex sets, Cheeger constant, modulus of ...
arxiv  

Hermite-Hadamard type inequalities for Wright-convex functions of several variables [PDF]

arXiv, 2013
We present Hermite--Hadamard type inequalities for Wright-convex, strongly convex and strongly Wright-convex functions of several variables defined on ...
arxiv  

Convexity and sandwich theorems [PDF]

European Journal of Research in Applied Sciences, vol. 1 (2015), pp. 9-11, 2015
We review sandwich theorems from the theory of convex functions.
arxiv  

New extensions of Popoviciu's inequality [PDF]

arXiv, 2015
Popoviciu's inequality is extended to the framework of h-convexity and also to convexity with respect to a pair of quasi-arithmetic means. Several applications are included.
arxiv  

Rearrangements and Leibniz-type rules of mean oscillations [PDF]

arXiv, 2017
We shall prove a rearrangement inequality in probability measure spaces in order to obtain sharp Leibniz-type rules of mean oscillations in Lp-spaces and rearrangement invariant Banach function spaces.
arxiv  

Convexity of solutions and Brunn-Minkowski inequalities for Hessian equations in $\R^3$ [PDF]

arXiv, 2011
By using Minkowski addition of convex functions, we prove convexity and rearrangement properties of solutions to some Hessian equations in $\R^3$ and Brunn-Minkowski and isoperimetric inequalities for related functionals.
arxiv