Results 21 to 30 of about 555,414 (278)
Separation by strongly h-convex functions [PDF]
Mathematical Inequalities & Applications, 2018 Summary: The convex separation problem is studied intensively in many situation: It is answered for the cases of classical convexity, strong convexity, \(h\)-convexity and strongh-convexity with multiplicative \(h\). In the case of \(h\)-convexity, multiplicativity turns out to be considerably relaxed.
openaire +2 more sources
Hermite-Hadamard inequalities for co-ordinated log−h-convex functions [PDF]
Journal of Mathematical Inequalities, 2021 Summary: In this paper, we establish some Hermite-Hadamard type inequalities for co-ordinated \(\log\)-\(h\)-convex functions on rectangles from \(\mathbb{R}^n\), which extend some known results. Some mappings connected with these inequalities and related results are also obtained.
Wang, Tingjing +3 more
openaire +2 more sources
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 +36 more
core +2 more sources
Convexity and singularities of curvature equations in conformal geometry [PDF]
, 2006 We define a generalization of convex functions, which we call $\delta$-convex functions, and show they must satisfy interior H\"older and $W^{1,p}$ estimates.
Gursky, Matthew, Viaclovsky, Jeff
core +1 more source
Lorentzian area measures and the Christoffel problem [PDF]
, 2015 We introduce a particular class of unbounded closed convex sets of $\R^{d+1}$, called F-convex sets (F stands for future). To define them, we use the Minkowski bilinear form of signature $(+,...,+,-)$ instead of the usual scalar product, and we ask the ...
Fillastre, François, Veronelli, Giona
core +4 more sources
H\"older Error Bounds and H\"older Calmness with Applications to Convex Semi-Infinite Optimization [PDF]
, 2019 Using techniques of variational analysis, necessary and sufficient subdifferential conditions for H\"older error bounds are investigated and some new estimates for the corresponding modulus are obtained.
Kruger, Alexander +3 more
core +4 more sources
Generalized Hermite–Hadamard-Type Integral Inequalities for h-Godunova–Levin Functions
Journal of Function Spaces, 2022 The main objective of this article is to establish generalized fractional Hermite–Hadamard and related type integral inequalities for h-Godunova–Levin convexity and h-Godunova–Levin preinvexity with extended Wright generalized Bessel function acting as ...
Rana Safdar Ali +5 more
doaj +1 more source
Symmetrization for Linear and Nonlinear Fractional Parabolic Equations of Porous Medium Type [PDF]
, 2013 We establish symmetrization results for the solutions of the linear fractional diffusion equation $\partial_t u +(-\Delta)^{\sigma/2}u=f$ and itselliptic counterpart $h v +(-\Delta)^{\sigma/2}v=f$, $h>0$, using the concept of comparison of concentrations.
Volzone, Bruno, Vázquez, Juan Luis
core +1 more source
On separation by h-convex functions [PDF]
Tatra Mountains Mathematical Publications, 2015 Abstract In the present paper, we establish the necessary and sufficient conditions under which two functions can be separated by h-convex function, in the case, when the function h is multiplicative. This result is related to the theorem on separation by convex functions presented in Baron, K. Matkowski, J. Nikodem, K. [A sandwich with
openaire +1 more source
Petrović-Type Inequalities for Harmonic h-convex Functions
Journal of Function Spaces, 2020 In the article, we establish several Petrović-type inequalities for the harmonic h-convex (concave) function if h is a submultiplicative (super-multiplicative) function, provide some new majorizaton type inequalities for harmonic convex function, and ...
Imran Abbas Baloch, Yu-Ming Chu
doaj +1 more source