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
  • [41] A functional generalization of diamond-α integral Dresher’s inequality on time scales
    Guang-Sheng Chen
    Cheng-Dong Wei
    Advances in Difference Equations, 2014
  • [42] The diamond integral reverse Hölder inequality and related results on time scales
    Guang-Sheng Chen
    Cheng-Dong Wei
    Advances in Difference Equations, 2015
  • [43] A functional generalization of diamond-α integral Dresher's inequality on time scales
    Chen, Guang-Sheng
    Wei, Cheng-Dong
    ADVANCES IN DIFFERENCE EQUATIONS, 2014,
  • [44] Some inequalities related to Csiszar divergence via diamond integral on time scales
    Bilal, Muhammad
    Khan, Khuram Ali
    Nosheen, Ammara
    Pecaric, Josip
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2023, 2023 (01)
  • [45] A functional generalization of diamond-α integral Holder's inequality on time scales
    Yang, Wengui
    APPLIED MATHEMATICS LETTERS, 2010, 23 (10) : 1208 - 1212
  • [46] On generalized weighted dynamic inequalities for diamond - (sic) integral on time scales calculus
    Akin, Lutfi
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2024, 55 (01): : 363 - 376
  • [47] Solvability of boundary value problems with Riemann-Stieltjes Δ-integral conditions for second-order dynamic equations on time scales at resonance
    Li, Yongkun
    Shu, Jiangye
    ADVANCES IN DIFFERENCE EQUATIONS, 2011, : 1 - 18
  • [48] Existence Results for Solutions of Integral Boundary Value Problems on Time Scales
    Cetin, Erbil
    Topal, F. Serap
    ABSTRACT AND APPLIED ANALYSIS, 2013,
  • [49] A FUNCTIONAL GENERALIZATION OF DIAMOND-α INTEGRAL MINKOWSKI'S TYPE INEQUALITY ON TIME SCALES
    Chen, Guang-Sheng
    Wang, Pin
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2015, 9 (02): : 463 - 471
  • [50] Some inequalities related to Csiszár divergence via diamond integral on time scales
    Muhammad Bilal
    Khuram Ali Khan
    Ammara Nosheen
    Josip Pečarić
    Journal of Inequalities and Applications, 2023
12345