MAJORIZATION TYPE INEQUALITIES VIA GREEN FUNCTION AND HERMITE'S POLYNOMIAL

被引：0
|
作者：
Khan, M. Adil [1 ]
Latif, N. [2 ]
Pecaric, J. [3 ]
机构：
[1] Univ Peshawar, Dept Math, Peshawar 25000, Pakistan
[2] Govt Coll Univ, Dept Math, Faisalabad 38000, Pakistan
[3] Univ Zagreb, Fac Text Technol, Prilaz Baruna Filipov 28a, Zagreb 1000, Croatia
来源：
JOURNAL OF THE INDONESIAN MATHEMATICAL SOCIETY | 2016年 / 22卷 / 01期
关键词：
Majorization theorem; Hermite's interpolating polynomial; (m; n - m) interpolating polynomial; two-point Taylor interpolating polynomial; Cebysev functional; n-exponentially convex function; mean value theorems; Stolarsky type means;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The Hermite polynomial and Green function are used to construct the identities related to majorization type inequalities for convex function. By using Cebysev functional the bounds for the new identities are found to develop the Gruss and Ostrowski type inequalities. Further more exponential convexity together with Cauchy means is presented for linear functionals associated with the obtained inequalities.
引用
收藏
页码：1 / 25
页数：25
相关论文
共 50 条
  • [21] Newton-Simpson-type inequalities via majorization
    Butt, Saad Ihsan
    Javed, Iram
    Agarwal, Praveen
    Nieto, Juan J.
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2023, 2023 (01)
  • [22] Newton–Simpson-type inequalities via majorization
    Saad Ihsan Butt
    Iram Javed
    Praveen Agarwal
    Juan J. Nieto
    Journal of Inequalities and Applications, 2023
  • [23] GENERALIZATIONS OF HARDY-TYPE INEQUALITIES BY THE HERMITE INTERPOLATING POLYNOMIAL
    Himmelreich, Kristina Krulic
    Pecaric, Josip
    Pokaz, Dora
    Praljak, Marjan
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2024, 18 (02): : 443 - 455
  • [24] Hermite-Hadamard-type inequalities via n-polynomial exponential-type convexity and their applications
    Butt, Saad Ihsan
    Kashuri, Artion
    Tariq, Muhammad
    Nasir, Jamshed
    Aslam, Adnan
    Gao, Wei
    ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
  • [25] Hermite–Hadamard-type inequalities via n-polynomial exponential-type convexity and their applications
    Saad Ihsan Butt
    Artion Kashuri
    Muhammad Tariq
    Jamshed Nasir
    Adnan Aslam
    Wei Gao
    Advances in Difference Equations, 2020
  • [26] On Hermite-Hadamard type inequalities via fractional integrals of a function with respect to another function
    Jleli, Mohamed
    Samet, Bessem
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (03): : 1252 - 1260
  • [27] MAJORIZATION TYPE INEQUALITIES VIA 4-CONVEX FUNCTIONS
    Basir, Abdul
    Khan, Muhammad Adil
    Pecaric, Josip
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2024, 18 (01): : 51 - 67
  • [28] Milne and Hermite-Hadamard's type inequalities for strongly multiplicative convex function via multiplicative calculus
    Umar, Muhammad
    Butt, Saad Ihsan
    Seol, Youngsoo
    AIMS MATHEMATICS, 2024, 9 (12): : 34090 - 34108
  • [29] New conticrete inequalities of the Hermite-Hadamard-Jensen-Mercer type in terms of generalized conformable fractional operators via majorization
    Saeed, Tareq
    Khan, Muhammad Adil
    Faisal, Shah
    Alsulami, Hamed H.
    Alhodaly, Mohammed Sh.
    DEMONSTRATIO MATHEMATICA, 2023, 56 (01)
  • [30] The right Riemann-Liouville fractional Hermite-Hadamard type inequalities derived from Green's function
    Iqbal, Arshad
    Adil Khan, Muhammad
    Suleman, Muhammad
    Chu, Yu-Ming
    AIP ADVANCES, 2020, 10 (04)
12345