On (k,h;m) -convex mappings and applications
نویسندگان
چکیده
منابع مشابه
On Inverses of -convex Mappings
In the first part of this paper, we prove that in a sense the class of bi-Lipschitz δ-convex mappings, whose inverses are locally δ-convex, is stable under finite-dimensional δ-convex perturbations. In the second part, we construct two δ-convex mappings from l1 onto l1, which are both bi-Lipschitz and their inverses are nowhere locally δ-convex. The second mapping, whose construction is more co...
متن کاملConvex functions and quasiconformal mappings
Continuing our investigation of quasiconformal mappings with convex potentials, we obtain a new characterization of quasiuniformly convex functions and improve our earlier results on the existence of quasiconformal mappings with prescribed sets of singularities.
متن کاملSemistrictly Convex Fuzzy Mappings
In this paper, a new class of fuzzy mappings called semistrictly convex fuzzy mappings is introduced and we present some properties of this kind of fuzzy mappings. In particular, we prove that a local minimum of a semistrictly convex fuzzy mapping is also a global minimum. We also discuss the relations among convexity, strict convexity and semistrict convexity of fuzzy mapping, and give several...
متن کاملBetween quasi-convex and convex set-valued mappings
The aim of this paper is to give sufficient conditions for a quasiconvex setvalued mapping to be convex. In particular, we recover several known characterizations of convex real-valued functions, given in terms of quasiconvexity and Jensen-type convexity by K. Nikodem [1], F.A. Behringer [2], and X.M. Yang, K.L. Teo and X.Q. Yang [3].
متن کاملHarmonic Close-to-convex Mappings
Sufficient coefficient conditions for complex functions to be close-to-convex harmonic or convex harmonic are given. Construction of close-to-convex harmonic functions is also studied by looking at transforms of convex analytic functions. Finally, a convolution property for harmonic functions is discussed. Harmonic, Convex, Close-to-Convex, Univalent.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematical Inequalities & Applications
سال: 2014
ISSN: 1331-4343
DOI: 10.7153/mia-17-49