WEIGHTED HARDY-TYPE INEQUALITIES INVOLVING FRACTIONAL CALCULUS OPERATORS

被引:0
|
作者
Iqbal, Sajid [1 ]
Pecaric, Josip [2 ]
Samraiz, Muhammad [3 ]
Tomovski, Zivorad [4 ]
机构
[1] Univ Sargodha, Dept Math, Subcampus Mianwali, Mianwali, Pakistan
[2] Univ Zagreb, Fac Text Technol, Zagreb, Croatia
[3] Univ Sargodha, Dept Math, Sargodha, Pakistan
[4] Fac Math & Nat Sci, Gazi Baba Bb, Skopje 1000, Macedonia
来源
RAD HRVATSKE AKADEMIJE ZNANOSTI I UMJETNOSTI-MATEMATICKE ZNANOSTI | 2018年 / 22卷 / 534期
关键词
Inequalities; convex function; fractional derivatives; generalized fractional integral operator;
D O I
10.21857/ydkx2cr509
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The aim of this paper is to give a new class of general weighted Hardy-type inequalities involving an arbitrary convex function with some applications of generalized fractional calculus convolutive operators which contain Gauss-hypergeometric function, generalized Mittag-Leffler function and Hilfer fractional derivative operator, in the kernel.
引用
收藏
页码:77 / 91
页数:15
相关论文
共 50 条
  • [41] Some remarks on parameterized inequalities involving conformable fractional operators
    Unal, Cihan
    Hezenci, Fatih
    Budak, Hueseyin
    TURKISH JOURNAL OF MATHEMATICS, 2023, 47 (02) : 590 - 607
  • [42] Hardy operators on weighted amalgams
    Ortega Salvador, Pedro
    Ramirez Torreblanca, Consuelo
    PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2010, 140 : 175 - 188
  • [43] Commutators of weighted Hardy operators on Herz-type spaces
    Tang, Canqin
    Xue, Feien
    Zhou, Yu
    ANNALES POLONICI MATHEMATICI, 2011, 101 (03) : 267 - 273
  • [44] Hermite-Hadamard and Hermite-Hadamard-Fejer Type Inequalities Involving Fractional Integral Operators
    Set, Erhan
    Akdemir, Ahmet Ocak
    Alan, Emrullah Aykan
    FILOMAT, 2019, 33 (08) : 2367 - 2380
  • [45] INEQUALITIES FOR WEIGHTED HARDY OPERATORS IN WEIGHTED VARIABLE EXPONENT LEBESGUE SPACE WITH 0 < p(x) < 1
    Bendaoud, S. A.
    Senouci, A.
    EURASIAN MATHEMATICAL JOURNAL, 2018, 9 (01): : 30 - 39
  • [46] On some Hermite–Hadamard inequalities involving k-fractional operators
    Shanhe Wu
    Sajid Iqbal
    Muhammad Aamir
    Muhammad Samraiz
    Awais Younus
    Journal of Inequalities and Applications, 2021
  • [47] Systems of elliptic equations involving multiple critical nonlinearities and different Hardy-type terms in RN
    Kang, Dongsheng
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 420 (02) : 917 - 929
  • [48] HARDY TYPE INEQUALITIES AND COMPACTNESS OF A CLASS OF INTEGRAL OPERATORS WITH LOGARITHMIC SINGULARITIES
    Abylayeva, Akbota M.
    Persson, Lars-Erik
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2018, 21 (01): : 201 - 215
  • [49] n-EXPONENTIAL CONVEXITY OF HARDY-TYPE AND BOAS-TYPE FUNCTIONALS
    Iqbal, Sajid
    Himmelreich, Kristina Krulic
    Pecaric, Josip
    Pokaz, Dora
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2013, 7 (04): : 739 - 750
  • [50] Maximal Operators of Multilinear Singular Integrals on Weighted Hardy Type Spaces
    Wen, Yongming
    Wu, Huoxiong
    Xue, Qingying
    CHINESE ANNALS OF MATHEMATICS SERIES B, 2023, 44 (03) : 391 - 406