THE STRUCTURAL FEATURES OF HILBERT-TYPE LOCAL FRACTIONAL INTEGRAL INEQUALITIES WITH ABSTRACT HOMOGENEOUS KERNEL AND ITS APPLICATIONS
Sign Up to like & getrecommendations! Published in 2020 at "Fractals"
DOI: 10.1142/s0218348x2050111x
Abstract: In this paper, by using the theory of local fractional calculus and some techniques of real analysis, the structural characteristics of Hilbert-type local fractional integral inequalities with abstract homogeneous kernel are studied. At the same… read more here.
Keywords: inequalities abstract; local fractional; hilbert type; integral inequalities ... See more keywords
Equivalent Property of a Hilbert-Type Integral Inequality Related to the Beta Function in the Whole Plane
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Function Spaces"
DOI: 10.1155/2018/2691816
Abstract: By means of the technique of real analysis and the weight functions, a few equivalent statements of a Hilbert-type integral inequality with the nonhomogeneous kernel in the whole plane are obtained. The constant factor related… read more here.
Keywords: type integral; hilbert type; integral inequality; function ... See more keywords
A Hilbert-type fractal integral inequality and its applications
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Inequalities and Applications"
DOI: 10.1186/s13660-017-1360-9
Abstract: By using thefractal theory and the methods of weight function, a Hilbert-type fractal integral inequality and its equivalent form are given. Their constant factors are proved being the best possible, and their applications are discussed… read more here.
Keywords: hilbert type; integral inequality; applications hilbert; type fractal ... See more keywords
A Hilbert-type integral inequality under configuring free power and its applications
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Inequalities and Applications"
DOI: 10.1186/s13660-019-2039-1
Abstract: By using the method of weight function, the technique of real analysis, and the theory of special functions, a multi-parameter Hilbert-type integral inequality and its equivalent form are established, and their constant factors are proved… read more here.
Keywords: hilbert type; type integral; inequality configuring; applications hilbert ... See more keywords
A reverse Hardy–Hilbert-type integral inequality involving one derivative function
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Inequalities and Applications"
DOI: 10.1186/s13660-020-02528-0
Abstract: In this article, by using weight functions, the idea of introducing parameters, the reverse extended Hardy–Hilbert integral inequality and the techniques of real analysis, a reverse Hardy–Hilbert-type integral inequality involving one derivative function and the… read more here.
Keywords: hilbert type; hardy hilbert; integral inequality; reverse hardy ... See more keywords
Hilbert-type inequalities for time scale nabla calculus
Sign Up to like & getrecommendations! Published in 2020 at "Advances in Difference Equations"
DOI: 10.1186/s13662-020-03079-w
Abstract: This paper deals with the derivation of some new dynamic Hilbert-type inequalities in time scale nabla calculus. In proving the results, the basic idea is to use some algebraic inequalities, Holder’s inequality, and Jensen’s time… read more here.
Keywords: inequalities time; hilbert type; scale nabla; time ... See more keywords
A New Hardy–Hilbert-Type Integral Inequality Involving One Multiple Upper Limit Function and One Derivative Function of Higher Order
Sign Up to like & getrecommendations! Published in 2023 at "Axioms"
DOI: 10.3390/axioms12050499
Abstract: Using weight functions and parameters, as well as applying real analytic techniques, we derive a new Hardy–Hilbert-type integral inequality with the homogeneous kernel 1(x+y)λ+n involving one multiple upper limit function and one derivative function of… read more here.
Keywords: function; new hardy; hilbert type; integral inequality ... See more keywords
On Some Important Class of Dynamic Hilbert's-Type Inequalities on Time Scales
Sign Up to like & getrecommendations! Published in 2022 at "Symmetry"
DOI: 10.3390/sym14071395
Abstract: In this important work, we discuss some novel Hilbert-type dynamic inequalities on time scales. The inequalities investigated here generalize several known dynamic inequalities on time scales and unify and extend some continuous inequalities and their… read more here.
Keywords: time; important class; hilbert type; inequalities time ... See more keywords
On Some Important Dynamic Inequalities of Hardy-Hilbert-Type on Timescales
Sign Up to like & getrecommendations! Published in 2022 at "Symmetry"
DOI: 10.3390/sym14071421
Abstract: In this article, by using some algebraic inequalities, nabla Hölder inequalities, and nabla Jensen’s inequalities on timescales, we proved some new nabla Hilbert-type dynamic inequalities on timescales. These inequalities extend some known dynamic inequalities on… read more here.
Keywords: inequalities hardy; inequalities timescales; hilbert type; dynamic inequalities ... See more keywords
Generalized Inequalities of Hilbert-Type on Time Scales Nabla Calculus
Sign Up to like & getrecommendations! Published in 2022 at "Symmetry"
DOI: 10.3390/sym14081512
Abstract: In this paper, we prove some new generalized inequalities of Hilbert-type on time scales nabla calculus by applying Hölder’s inequality, Young’s inequality, and Jensen’s inequality. Symmetrical properties play an essential role in determining the correct… read more here.
Keywords: generalized inequalities; inequalities hilbert; hilbert type; time scales ... See more keywords
(γ, a)-Nabla Reverse Hardy-Hilbert-Type Inequalities on Time Scales
Sign Up to like & getrecommendations! Published in 2022 at "Symmetry"
DOI: 10.3390/sym14081714
Abstract: In this article, using a (γ,a)-nabla conformable integral on time scales, we study several novel Hilbert-type dynamic inequalities via nabla time scales calculus. Our results generalize various inequalities on time scales, unifying and extending several… read more here.
Keywords: time; hilbert type; time scales; inequalities time ... See more keywords