ON THE DIAMOND-ALPHA RIEMANN INTEGRAL AND MEAN VALUE THEOREMS ON TIME SCALES

被引：0
|
作者：
Malinowska, Agnieszka B. [1 ]
Torres, Delfim F. M.
机构：
[1] Bialystok Tech Univ, Fac Comp Sci, PL-15351 Bialystok, Poland
来源：
DYNAMIC SYSTEMS AND APPLICATIONS | 2009年 / 18卷 / 3-4期
关键词：
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study diamond-alpha integrals on time scales. A diamond-alpha version of Fermat's theorem for stationary points is also proved, as well as Rolle's, Lagrange's, and Cauchy's mean value theorems on time scales.
引用
收藏
页码：469 / 481
页数：13
相关论文
共 50 条
  • [1] N-tuple Diamond-Alpha integral and inequalities on time scales
    Tian, Jing-Feng
    Zhu, Ya-Ru
    Cheung, Wing-Sum
    REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2019, 113 (03) : 2189 - 2200
  • [2] N-tuple Diamond-Alpha integral and inequalities on time scales
    Jing-Feng Tian
    Ya-Ru Zhu
    Wing-Sum Cheung
    Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2019, 113 : 2189 - 2200
  • [3] Diamond-alpha Grass type inequalities on time scales
    Bohner, Martin
    Matthews, Thomas
    Tuna, Adnan
    INTERNATIONAL JOURNAL OF DYNAMICAL SYSTEMS AND DIFFERENTIAL EQUATIONS, 2011, 3 (1-2) : 234 - 247
  • [4] HIGHER DIMENSIONS OPIAL DIAMOND-ALPHA INEQUALITIES ON TIME SCALES
    Mao, Zhong-Xuan
    Zhu, Ya-Ru
    Tian, Jing-Feng
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2021, 15 (03): : 1055 - 1074
  • [5] Generalizations and refinements of three-tuple Diamond-Alpha integral Holder's inequality on time scales
    Yan, Fei
    Wang, Jianfeng
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2019, 2019 (01)
  • [6] Qi Type Diamond-Alpha Integral Inequalities
    Mao, Zhong-Xuan
    Zhu, Ya-Ru
    Guo, Bao-Hua
    Wang, Fu-Hai
    Yang, Yu-Hua
    Zhao, Hai-Qing
    MATHEMATICS, 2021, 9 (04) : 1 - 24
  • [7] Generalizations and refinements of three-tuple Diamond-Alpha integral Hölder’s inequality on time scales
    Fei Yan
    Jianfeng Wang
    Journal of Inequalities and Applications, 2019
  • [8] Inequalities for interval-valued Riemann diamond-alpha integrals
    Bohner, Martin
    Nguyen, Linh
    Schneider, Baruch
    Truong, Tri
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2023, 2023 (01)
  • [9] Opial-type inequalities for diamond-alpha derivatives and integrals on time scales
    Bohner M.
    Duman O.
    Differential Equations and Dynamical Systems, 2010, 18 (1-2) : 229 - 237
  • [10] Inequalities for interval-valued Riemann diamond-alpha integrals
    Martin Bohner
    Linh Nguyen
    Baruch Schneider
    Tri Truong
    Journal of Inequalities and Applications, 2023
12345