Quantum Montgomery identity and quantum estimates of Ostrowski type inequalities (vol 5, pg 5439, 2020)

被引：8
|
作者：
Aljinovic, Andrea Aglic [1 ]
Kovacevic, Domagoj [1 ]
Kunt, Mehmet [2 ]
Puljiz, Mate [1 ]
机构：
[1] Univ Zagreb, Fac Elect Engn & Comp, Unska 3, Zagreb 10000, Croatia
[2] Karadeniz Tech Univ, Fac Sci, Dept Math, TR-61080 Trabzon, Turkey
来源：
AIMS MATHEMATICS | 2021年 / 6卷 / 02期
关键词：
derivative; q-integral; Jackson integral; Montgomery identity; Ostrowski inequality;
D O I：
10.3934/math.2021114
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We disprove and correct some recently obtained results regarding Montgomery identity for quantum integral operator and Ostrowski type inequalities involving convex functions.
引用
收藏
页码：1880 / 1888
页数：9
相关论文
共 50 条
  • [1] Quantum Montgomery identity and quantum estimates of Ostrowski type inequalities
    Kunt, Mehmet
    Kashuri, Artion
    Du, Tingsong
    Baidar, Abdul Wakil
    [J]. AIMS MATHEMATICS, 2020, 5 (06): : 5439 - 5457
  • [2] Montgomery identity and Ostrowski-type inequalities via quantum calculus
    Sitthiwirattham, Thanin
    Ali, Muhammad Aamir
    Budak, Huseyin
    Abbas, Mujahid
    Chasreechai, Saowaluck
    [J]. OPEN MATHEMATICS, 2021, 19 (01): : 1098 - 1109
  • [3] GENERALIZED QUANTUM MONTGOMERY IDENTITY AND OSTROWSKI TYPE INEQUALITIES FOR PREINVEX FUNCTIONS
    Kalsoom, Humaira
    Ali, Muhammad Aamir
    Abbas, Mujahid
    Budak, Huseyin
    Murtaza, Ghulam
    [J]. TWMS JOURNAL OF PURE AND APPLIED MATHEMATICS, 2022, 13 (01): : 72 - 90
  • [4] Quantum variant of Montgomery identity and Ostrowski-type inequalities for the mappings of two variables
    Ali, Muhammad Aamir
    Chu, Yu-Ming
    Budak, Hueseyin
    Akkurt, Abdullah
    Yildirim, Hueseyin
    Zahid, Manzoor Ahmed
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)
  • [5] Quantum variant of Montgomery identity and Ostrowski-type inequalities for the mappings of two variables
    Muhammad Aamir Ali
    Yu-Ming Chu
    Hüseyin Budak
    Abdullah Akkurt
    Hüseyin Yıldırım
    Manzoor Ahmed Zahid
    [J]. Advances in Difference Equations, 2021
  • [6] Montgomery Identity and Ostrowski-Type Inequalities for Generalized Quantum Calculus through Convexity and Their Applications
    Kalsoom, Humaira
    Vivas-Cortez, Miguel
    Abidin, Muhammad Zainul
    Marwan, Muhammad
    Khan, Zareen A.
    [J]. SYMMETRY-BASEL, 2022, 14 (07):
  • [7] Discrete weighted Montgomery identity and discrete Ostrowski type inequalities
    Aljinovic, AA
    Pecaric, J
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2004, 48 (5-6) : 731 - 745
  • [8] On Ostrowski Type Inequalities via the Extended Version of Montgomery's Identity
    Khan, Asif R.
    Nabi, Hira
    Pecaric, Josip E.
    [J]. MATHEMATICS, 2022, 10 (07)
  • [9] Quantum Estimates of Ostrowski Inequalities for Generalized φ-Convex Functions
    Vivas-Cortez, Miguel J.
    Kashuri, Artion
    Liko, Rozana
    Hernandez Hernandez, Jorge E.
    [J]. SYMMETRY-BASEL, 2019, 11 (12):
  • [10] A study of new quantum Montgomery identities and general Ostrowski like inequalities
    Awan, Muhammad Uzair
    Javed, Muhammad Zakria
    Budak, Huseyin
    Hamed, Y. S.
    Ro, Jong-Suk
    [J]. AIN SHAMS ENGINEERING JOURNAL, 2024, 15 (05)
12345