HERMITE-HADAMARD TYPE INEQUALITIES FOR m-CONVEX AND (α, m)-CONVEX STOCHASTIC PROCESSES

被引：0

作者：

Ozcan, Serap ^{[1
]}

机构：

[1] Kirklareli Univ, Fac Arts & Sci, Dept Math, TR-39100 Kirklareli, Turkey

来源：

INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS | 2019年 / 17卷 / 05期

关键词：

convex stochastic process; m-convex stochastic process; (alpha; m)-convex stochastic process; mean-square integral; Hermite-Hadamard type inequality;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, the concepts of m-convex and (alpha, m)-convex stochastic processes are introduced. Several new inequalities of Hermite-Hadamard type for differentiable m-convex and (alpha, m)-convex stochastic processes are established. The results obtained in this work are the generalizations of the known results.

引用

页码：793 / 802

页数：10

共 18 条

[1] Variants of Cebysev's inequality with applications [J].

Bakula, M. Klaricic ;

Matkovic, A. ;

Pecaric, J. .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2006, 2006 (1)

[2] Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula [J].

Dragomir, SS ;

Agarwal, RP .

APPLIED MATHEMATICS LETTERS, 1998, 11 (05) :91-95

[3]

Gonzalez L., 2015, Math. Aeterna, V5, P745

[4]

Iscan I, 2017, NEW TRENDS MATH SCI, V5, P180

[5]

Klaricic Bakula M., 2008, J. Ineq. Pure Appl. Math, V9, P12

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

Kotrys, Dawid .

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

[7]

Li LB, 2017, AEQUATIONES MATH, V91, P909, DOI 10.1007/s00010-017-0488-5

[8]

Mihesan VG., 1993, SEMINAR FUNCTIONAL E

[9]

Nikodem K, 1980, AEQUATIONES MATH, V20, P184, DOI 10.1007/BF02190513

[10]

Okur N., 2019, Int. J. Optim. Control Theor. Appl, V9, P148, DOI [10.11121/ijocta.01.2019.00602, DOI 10.11121/IJOCTA.01.2019.00602]

← 1 2 →