GENERALIZATION OF MAJORIZATION THEOREM VIA TAYLOR'S FORMULA

被引：0
|
作者：
Butt, Saad Ihsan [1 ]
Kvesic, Ljiljanka [2 ]
Pecaric, Josip [3 ]
机构：
[1] COMSATS Inst Informat Technol, Dept Math, Lahore, Pakistan
[2] Univ Mostar, Fac Sci & Educ, Matice Hrvatske Bb, Mostar 88000, Bosnia & Herceg
[3] Univ Zagreb, Fac Text Technol, Zagreb 10000, Croatia
来源：
MATHEMATICAL INEQUALITIES & APPLICATIONS | 2016年 / 19卷 / 04期
关键词：
Convex function; divided difference; Taylor's formula; Cebysev functional; Gruss inequality; Ostrowski inequality; exponential convexity; BERWALD INEQUALITIES; FAVARD;
D O I：
10.7153/mia-19-92
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give generalization of majorization theorem for the class of n-convex functions by using Taylor's formula. We use inequalities for the. Cebysev functional to obtain bounds for the identities related to generalizations of majorization inequalities. We present mean value theorems and n-exponential convexity for the functional obtained from the generalized majorization inequalities. At the end we discuss the results for particular families of function and give means.
引用
收藏
页码：1257 / 1269
页数：13
相关论文
共 50 条
  • [1] Weighted majorization theorems via generalization of Taylor's formula
    Aljinovic, Andrea Aglic
    Khan, Asif R.
    Pecaric, Josip E.
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2015,
  • [2] Weighted majorization theorems via generalization of Taylor’s formula
    Andrea Aglić Aljinović
    Asif R Khan
    Josip E Pečarić
    [J]. Journal of Inequalities and Applications, 2015
  • [3] GENERALIZATION OF MAJORIZATION THEOREM
    Khan, M. Adil
    Latif, N.
    Pecaric, J.
    [J]. JOURNAL OF MATHEMATICAL INEQUALITIES, 2015, 9 (03): : 847 - 872
  • [4] Poisson's fundamental theorem of calculus via Taylor's formula
    Nystedt, P.
    [J]. INTERNATIONAL JOURNAL OF MATHEMATICAL EDUCATION IN SCIENCE AND TECHNOLOGY, 2020, 51 (05) : 799 - 805
  • [5] GENERALIZATION OF MAJORIZATION THEOREM VIA ABEL-GONTSCHAROFF POLYNOMIAL
    Khan, Muhammad Adil
    Latif, Naveed
    Pecaric, Josip
    [J]. RAD HRVATSKE AKADEMIJE ZNANOSTI I UMJETNOSTI-MATEMATICKE ZNANOSTI, 2015, 19 (523): : 91 - 116
  • [6] GENERALIZATION OF MAJORIZATION THEOREM-II
    Latif, Naveed
    Siddique, Nouman
    Pecaric, Josip
    [J]. JOURNAL OF MATHEMATICAL INEQUALITIES, 2018, 12 (03): : 731 - 752
  • [7] Generalization of Montgomery identity via Taylor formula on time scales
    Malik, Sumaiya
    Khan, Khuram Ali
    Nosheen, Ammara
    Awan, Khalid Mahmood
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2022, 2022 (01)
  • [8] Generalization of Montgomery identity via Taylor formula on time scales
    Sumaiya Malik
    Khuram Ali Khan
    Ammara Nosheen
    Khalid Mahmood Awan
    [J]. Journal of Inequalities and Applications, 2022
  • [9] Generalization of Taylor's formula to particles of arbitrary inertia
    Boi, S.
    Mazzino, A.
    Muratore-Ginanneschi, P.
    Olivieri, S.
    [J]. PHYSICAL REVIEW FLUIDS, 2018, 3 (10):
  • [10] GENERALIZATION OF SYMANZIKS THEOREM ON THE MAJORIZATION OF FEYNMAN GRAPHS
    LOGUNOV, AA
    TODOROV, IT
    CHERNIKOV, NA
    [J]. SOVIET PHYSICS JETP-USSR, 1962, 15 (05): : 891 - 896
12345