New refinements for integral and sum forms of Hölder inequality
نویسندگان
چکیده
منابع مشابه
New refinements of generalized Aczél inequality
*Correspondence: [email protected] 1College of Science and Technology, North China Electric Power University, Baoding, Hebei 071051, P.R. China Full list of author information is available at the end of the article Abstract In this article, we present several new refinements of the generalized Aczél inequality. As an application, an integral type of the generalized Aczél-Vasić-Pečarić ine...
متن کاملHölder continuity of a parametric variational inequality
In this paper, we study the Hölder continuity of solution mapping to a parametric variational inequality. At first, recalling a real-valued gap function of the problem, we discuss the Lipschitz continuity of the gap function. Then under the strong monotonicity, we establish the Hölder continuity of the single-valued solution mapping for the problem. Finally, we apply these resu...
متن کاملRefinements of Pinsker's inequality
Let V and D denote, respectively, total variation and divergence. We study lower bounds of D with V fixed. The theoretically best (i.e. largest) lower bound determines a function L = L(V ), Vajda’s tight lower bound, cf. Vajda, [?]. The main result is an exact parametrization of L. This leads to Taylor polynomials which are lower bounds for L, and thereby extensions of the classical Pinsker ine...
متن کاملNew Refinements of Generalized Aczél’s Inequality and Their Applications
In this paper, we give several new refinements of generalized Aczél’s inequality. Moreover, as applications, some new refinements of integral form of generalized Aczél-type inequality are given. Mathematics subject classification (2010): Primary 26D15; Secondary 26D10.
متن کاملA functional generalization of the reverse Hölder integral inequality on time scales
Keywords: Diamond-α integral Time scale Hölder inequality Minkowski's inequality a b s t r a c t In this paper, we establish a functional generalization of the diamond-α integral reverse Hölder inequality on time scales. Some related inequalities are also considered.
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: Journal of Inequalities and Applications
سال: 2019
ISSN: 1029-242X
DOI: 10.1186/s13660-019-2258-5