Weighted Ostrowski's Type Integral Inequalities for Mapping Whose First Derivative Is Bounded

被引:0
作者
Fahad, S. [1 ]
Mustafa, M. A. [2 ]
Ullah, Z. [3 ]
Hussain, T. [2 ]
Qayyum, A. [2 ]
机构
[1] Bahauddin Zakriya Univ, Multan, Pakistan
[2] Inst Southern Punjab, Multan, Pakistan
[3] Univ Educ Lahore, Dept Math, Div Sci & Technol, Lahore, Pakistan
来源
INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS | 2022年 / 20卷
关键词
Ostrowski inequality; weight function; numerical integration;
D O I
10.28924/2291-8639-20-2022-16
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The aim of paper is to develop the inequalities for L-infinity; L-p and L (1) norms. Applications for some special weight functions and Perturbed expressions are also determined via Chebychev functional. We recaptured the previous results for different weights.
引用
收藏
页数:13
相关论文
共 14 条
  • [1] Barnett NS, 2001, INEQUALITY THEORY AND APPLICATIONS, VOL 1, P33
  • [2] Budak H, 2021, TWMS J APPL ENG MATH, V11, P424
  • [3] Cerone P., 2002, Tamkang J. Math., V33, P109, DOI [10.5556/j.tkjm.33.2002.290, DOI 10.5556/J.TKJM.33.2002.290]
  • [4] Dragomir S. S., 2001, Tamkang J. Math., V32, P211, DOI [10.5556/j.tkjm.32.2001.376, DOI 10.5556/J.TKJM.32.2001.376]
  • [5] Iftikhar M., 2021, OPEN J MATH SCI, V5, P353, DOI [10.30538/oms2021.0170, DOI 10.30538/OMS2021.0170]
  • [6] Matic M, 1999, MATH INEQUAL APPL, V2, P343
  • [7] Mitrinovic D.S., 1993, CLASSICAL NEW INEQUA
  • [8] Mustafa M. A., 2022, Turk. J. Anal. Numb. Theory, V10, P1, DOI [10.12691/tjant-10-1-1, DOI 10.12691/TJANT-10-1-1]
  • [9] Some Ostrowski type inequalities for mappings whose second derivatives are preinvex function via fractional integral operator
    Nasir, Jamshed
    Qaisar, Shahid
    Butt, Saad Ihsan
    Qayyum, Ather
    [J]. AIMS MATHEMATICS, 2021, 7 (03): : 3303 - 3320
  • [10] Ostrowski AM., 1938, COMMENT MATH HELV, V10, P226