Some Mean Square Integral Inequalities For Preinvexity Involving The Beta Function

被引：1
|
作者：
Saleema, Muhammad Shoaib [1 ]
Vivas-Cortezb, Miguel [2 ]
Sajida, Sana [1 ]
机构：
[1] Univ Okara, Dept Math, Punjab, Pakistan
[2] Pontificia Univ Catolica Ecuador, Fac Ciencias Nat & Exactas, Escuela Ciencias Fis & Matemat, Sede Quito, Ecuador
来源：
INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS | 2021年 / 12卷
关键词：
Mean square integral inequalities; Convex stochastic process; eta-convex stochastic process; Preinvex stochastic process; Beta function; HADAMARD TYPE INEQUALITIES;
D O I：
10.22075/ijnaa.2021.24241.2701
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the present research, we will deal with mean square integral inequalities for preinvex stochastic process and eta-convex stochastic process in setting of beta function. Further, we will present some novel results for improved Holder integral inequality. The results given in this present paper are generalizations of already existing results in the literature.
引用
收藏
页码：617 / 632
页数：16
相关论文
共 50 条
  • [21] Certain new integral inequalities considering the generalised logarithmically (α, m) -preinvexity
    Hu, Gou
    Du, Ting Song
    Liu, Fu Xiang
    MAEJO INTERNATIONAL JOURNAL OF SCIENCE AND TECHNOLOGY, 2020, 14 (01) : 93 - 108
  • [22] Some new inequalities involving elementary mean values
    Mercer, AM
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1999, 229 (02) : 677 - 681
  • [23] ON SOME BETA-FRACTIONAL INTEGRAL INEQUALITIES
    Ucar, Deniz
    Hatipoglu, Veysel Fuat
    SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES-SIGMA MUHENDISLIK VE FEN BILIMLERI DERGISI, 2019, 10 (03): : 363 - 368
  • [24] INTEGRAL MEAN ESTIMATES FOR SOME OPERATOR PRESERVING INEQUALITIES
    Malik, Shabir Ahmad
    KOREAN JOURNAL OF MATHEMATICS, 2024, 32 (03): : 497 - 506
  • [25] ON SOME DIOPHANTINE INEQUALITIES INVOLVING EXPONENTIAL FUNCTION
    BAKER, A
    CANADIAN JOURNAL OF MATHEMATICS, 1965, 17 (04): : 616 - &
  • [26] Some integral inequalities involving q-h fractional integral operator
    Abbas, Akhtar
    Fiyaz, Fazila
    Mubeen, Shahid
    Khan, Aziz
    Abdeljawad, Thabet
    JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2025, 38 (04): : 535 - 545
  • [27] On Some Fractional Integral Inequalities Involving Caputo-Fabrizio Integral Operator
    Chinchane, Vaijanath L.
    Nale, Asha B.
    Panchal, Satish K.
    Chesneau, Christophe
    AXIOMS, 2021, 10 (04)
  • [28] Some beta-function inequalities
    Alzer, H
    PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2003, 133 : 731 - 745
  • [29] On some inequalities for generalized beta function
    Dedic, L
    Matic, M
    Pecaric, J
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2000, 3 (04): : 473 - 483
  • [30] Some Fractional Integral Inequalities Involving Mittag-Kernels
    Zhang, Xiujun
    Farid, Ghulam
    Reunsumrit, Jiraporn
    Ahmad, Ayyaz
    Sitthiwirattham, Thanin
    JOURNAL OF MATHEMATICS, 2022, 2022
12345