Results 41 to 49 of about 302 (49)
Weighted Ostrowski-Grüss type inequalities [PDF]
arXiv, 2015 Several inequalities of Ostrowski-Gruss-type availabe in the literature are generalized by considering the weighted case of them. Involving the least concave majorant of the modulus of continuity we provide upper error bounds of such inequalities.
arxiv
Inequalities that sharpen the triangle inequality for sums of $N$ functions in $L^p$ [PDF]
arXiv, 2019 We study $L^p$ inequalities that sharpen the triangle inequality for sums of $N$ functions in $L^p$.
arxiv
More on Jensen functional and convexity [PDF]
arXivIn this paper we prove results on the difference between a normalized Jensen functional and the sum of other normalized Jensen functionals for convex function.
arxiv
On Jensen Functional, Convexity and Uniform Convexity [PDF]
arXivIn this paper we improve results related to Normalized Jensen Functional for convex functions and Uniformly Convex Functions.
arxiv
Lq-functional inequalities and weighted porous media equations [PDF]
arXiv, 2007 Using measure-capacity inequalities we study new functional inequalities, namely L^q-Poincar\'{e} inequalities and L^q-logarithmic Sobolev inequalities. As a consequence, we establish the asymptotic behavior of the solutions to the so-called weighted porous media equation for m?1, in terms of L^2-norms and entropies.
arxiv
Direct and inverse conversion formulas associated with Khabibullin's conjecture for integral inequalities [PDF]
arXiv, 2010 Khabibullin's conjecture deals with two linear integral inequalities for some non-negative continuous function $q(t)$. The integral in the first of these two inequalities converts $q(t)$ into another function of one variable $g(t)$. This integral yields the direct conversion formula.
arxiv
On Sharipov's counterexample to Khabibullin's conjecture [PDF]
arXiv, 2010 Khabibullin's conjecture has three statements equivalent to each other. Recently Ruslan Sharipov has constructed a counterexample to this conjecture for one of its three statements. In this paper Sharipov's counterexample is transferred to the other two statements of Khabibullin's conjecture.
arxiv
Old and New on Strongly Subadditive/Superadditive Functions [PDF]
arXivIn this paper we provide insight into the classes of strongly subadditive/superadditive functions by highlighting numerous new examples and new results.
arxiv