Hermite-Hadamard inequality for convex stochastic processes

被引：62
|
作者：
Kotrys, Dawid [1 ]
机构：
[1] Univ Bielsko Biala, Dept Math & Comp Sci, PL-43309 Bielsko Biala, Poland
来源：
AEQUATIONES MATHEMATICAE | 2012年 / 83卷 / 1-2期
关键词：
Convex stochastic process; Hermite-Hadamard inequality; integration of stochastic processes;
D O I：
10.1007/s00010-011-0090-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this note we extend the classical Hermite-Hadamard inequality to convex stochastic processes.
引用
收藏
页码：143 / 151
页数：9
相关论文
共 50 条
  • [1] On Hermite-Hadamard inequality for -convex stochastic processes
    Li, Libo
    Hao, Zhiwei
    AEQUATIONES MATHEMATICAE, 2017, 91 (05) : 909 - 920
  • [2] Hermite-Hadamard type Inequality for φh-convex stochastic processes
    Sarikaya, Mehmet Zeki
    Kiris, Mehmet Eyup
    Celik, Nuri
    INTERNATIONAL CONFERENCE ON ADVANCES IN NATURAL AND APPLIED SCIENCES: ICANAS 2016, 2016, 1726
  • [3] Hermite–Hadamard inequality for convex stochastic processes
    Dawid Kotrys
    Aequationes mathematicae, 2012, 83 : 143 - 151
  • [4] Quantum Hermite-Hadamard type integral inequalities for convex stochastic processes
    Sitthiwirattham, Thanin
    Ali, Muhammad Aamir
    Budak, Huseyin
    Chasreechai, Saowaluck
    AIMS MATHEMATICS, 2021, 6 (11): : 11989 - 12010
  • [5] GENERALIZED FRACTIONAL INEQUALITIES OF THE HERMITE-HADAMARD TYPE FOR CONVEX STOCHASTIC PROCESSES
    Omaba, McSylvester Ejighikeme
    Nwaeze, Eze R.
    ANNALES MATHEMATICAE SILESIANAE, 2021, 35 (01) : 90 - 104
  • [6] HERMITE-HADAMARD TYPE INEQUALITIES FOR m-CONVEX AND (α, m)-CONVEX STOCHASTIC PROCESSES
    Ozcan, Serap
    INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2019, 17 (05): : 793 - 802
  • [7] AN EXTENSION OF THE HERMITE-HADAMARD INEQUALITY FOR CONVEX SYMMETRIZED FUNCTIONS
    El Farissi, Abdallah
    Benbachir, Maamar
    Dahmane, Meriem
    REAL ANALYSIS EXCHANGE, 2012, 38 (02) : 467 - 474
  • [8] The Hermite-Hadamard inequality for r-convex functions
    Zabandan, Gholamreza
    Bodaghi, Abasalt
    Kilicman, Adem
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2012,
  • [9] The Hermite-Hadamard inequality for log-convex functions
    Niculescu, Constantin P.
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2012, 75 (02) : 662 - 669
  • [10] An extension of the Hermite-Hadamard inequality for a power of a convex function
    Sayyari, Yamin
    Dehghanian, Mehdi
    Park, Choonkil
    Paokanta, Siriluk
    OPEN MATHEMATICS, 2023, 21 (01):
12345