Simpson's Type Inequalities for Co-Ordinated Convex Functions on Quantum Calculus

被引:49
作者
Kalsoom, Humaira [1 ]
Wu, Jun-De [1 ]
Hussain, Sabir [2 ]
Latif, Muhammad Amer [3 ]
机构
[1] Zhejiang Univ, Sch Math Sci, Hangzhou 310027, Zhejiang, Peoples R China
[2] Univ Engn & Technol, Dept Math, Lahore 54890, Pakistan
[3] Univ Hail, Dept Basic Sci, Deanship Preparatory Year Program, Hail 2440, Saudi Arabia
来源
SYMMETRY-BASEL | 2019年 / 11卷 / 06期
关键词
quantum calculus; simpson's type inequality; quantum simpson's type inequality on co-ordinates; q(1)q(2)-partial derivatives; q(1)q(2)-Holder's inequality; co-ordinated convexity; INTEGRAL-INEQUALITIES; HADAMARD INEQUALITY;
D O I
10.3390/sym11060768
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
In the present paper, we aim to prove a new lemma and quantum Simpson's type inequalities for functions of two variables having convexity on co-ordinates over [alpha,beta]x[psi,phi]. Moreover, our deduction introduce new direction as well as validate the previous results.
引用
收藏
页数:16
相关论文
共 18 条
  • [1] Alomari M., 2009, RGMIA Res. Rep. Collect, V12, P1
  • [2] On the Hadamard's inequality for convex functions on the co-ordinates in a rectangle from the plane
    Dragomir, SS
    [J]. TAIWANESE JOURNAL OF MATHEMATICS, 2001, 5 (04): : 775 - 788
  • [3] On Simpson's inequality and applications
    Dragomir, SS
    Agarwal, RP
    Cerone, P
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2000, 5 (06) : 533 - 579
  • [4] Ernst T., 2012, A Comprehensive treatment of -calculus
  • [5] Gauchman H, 2004, COMPUT MATH APPL, V47, P281, DOI 10.1016/S0898-1221(04)00012-4
  • [6] Hudzik H., 1994, Aequationes Math, V48, P100, DOI DOI 10.1007/BF01837981
  • [7] Black Immigrants and the Rhetoric of Social Distancing
    Jackson, Regine O.
    [J]. SOCIOLOGY COMPASS, 2010, 4 (03): : 193 - 206
  • [8] Kac VG., 2001, Quantum Calculus
  • [9] Some q-analogues of Hermite-Hadamard inequality of functions of two variables on finite rectangles in the plane
    Latif, M. A.
    Dragomir, S. S.
    Momoniat, E.
    [J]. JOURNAL OF KING SAUD UNIVERSITY SCIENCE, 2017, 29 (03) : 263 - 273
  • [10] Some quantum integral inequalities via preinvex functions
    Noor, Muhammad Aslam
    Noor, Khalida Inayat
    Awan, Muhammad Uzair
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2015, 269 : 242 - 251