ON (m, h1, h2)-G-CONVEX DOMINATED STOCHASTIC PROCESSES

被引：3

作者：

Hernandez Hernandez, Jorge Eliecer ^{[1
]}

机构：

[1] Univ Centroccident Lisandro Alvarado, Decanato Ciencias Econ & Empresariales, Av 20 ESQ Av Moran, Barquisimeto 3001, Venezuela

来源：

KRAGUJEVAC JOURNAL OF MATHEMATICS | 2022年 / 46卷 / 02期

关键词：

(m; h(1); h(2))-convexity; dominated convexity; mean square integral inequalities; stochastic processes; JENSENS INEQUALITY; CONVEX FUNCTIONS;

D O I：

10.46793/KgJMat2202.215H

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper is introduced the concept of (m, h(1), h(2))-convexity for stochastic processes dominated by other stochastic processes with the same property, some mean square integral Hermite-Hadamard type inequalities for this kind of generalized convexity are established and from the founded results, other mean square integral inequalities for the classical convex, s-convex in the first and second sense, P-convex and MT-convex stochastic processes are deduced.

引用

页码：215 / 227

页数：13

共 30 条

[1] Ostrowski type inequalities for functions whose derivatives are s-convex in the second sense [J].

Alomari, M. ;

Darus, M. ;

Dragomir, S. S. ;

Cerone, P. .

APPLIED MATHEMATICS LETTERS, 2010, 23 (09) :1071-1076

[2]

[Anonymous], 2016, J ADV MATH STUD

[3]

Bain A, 2009, STOCH MOD APPL PROBA, V60, P1, DOI 10.1007/978-0-387-76896-0_1

[4]

Devolder P., 2015, MATH STAT SERIES

[5]

Dragomir S.S., 2002, TAMSUI OXFORD J MATH, V18, P161

[6]

Gordji ME, 2015, INT J NONLINEAR ANAL, V6, P27

[7] Jensen's Inequality, Parameter Uncertainty, and Multi-period Investment [J].

Grinblatt, Mark ;

Linnainmaa, Juhani T. .

REVIEW OF ASSET PRICING STUDIES, 2011, 1 (01) :1-34

[8]

Hernandez Hernandez, 2018, Revista Matua-Universidad del Atlantico, V5, P13

[9]

Kotrys D, 2016, TATRA MT MATH PUBL, V66, P67

[10] Remarks on strongly convex stochastic processes [J].

Kotrys, Dawid .

AEQUATIONES MATHEMATICAE, 2013, 86 (1-2) :91-98

← 1 2 3 →