Properties and Applications of Symmetric Quantum Calculus
Symmetric derivatives and integrals are extensively studied to overcome the limitations of classical derivatives and integral operators. In the current investigation, we explore the quantum symmetric derivatives on finite intervals.
Miguel Vivas-Cortez +4 more
doaj +1 more source
An extended Hilbert's integral inequality in the whole plane with parameters. [PDF]
He L, Li Y, Yang B.
europepmc +1 more source
The Boundedness of Generalized Fractional Integral Operators on Small Morrey Spaces
The small Morrey space is the set of locally Lebesgue integrable functions with norm defined supremum over radius of ball . This paper aims to prove the boundedness properties of the generality of fractional integral operators in small Morrey spaces ...
Rizky Aziz Syaifudin +3 more
doaj +1 more source
A Hilbert-type integral inequality in the whole plane related to the kernel of exponent function. [PDF]
Zhong Y, Huang M, Yang B.
europepmc +1 more source
A New Nonlinear Retarded Integral Inequality and Its Application
The main objective of this paper is to establish a new retarded nonlinear integral inequality with two variables, which provide explicit bound on unknown function. This inequality given here can be used as tool in the study of integral equations.
Li Zizun, Wang Wu-Sheng, Luo Ri-Cai
doaj
Integral inequalities similar to Gronwall inequality
Summary: In the present paper, we establish some nonlinear integral inequalities for functions of one variable, with a further generalization functions with n independent variables. We apply our results to a system of nonlinear differential equations for functions of one variable and to the nonlinear hyperbolic partial integrodifferential equation in \(
Hassane Khellaf, Mohamed Denche
openaire +2 more sources
Does the application of Jensen's integral inequality and LMIs confirm exponential stability in delayed systems with gapped gamma distribution through augmented Lyapunov function? [PDF]
Rashid SM.
europepmc +1 more source
On Integral Version of Alzer's Inequality and Martins' Inequality [PDF]
Chen, Chao-Ping, Qi, Feng
core
Generalization of Hilbert's integral inequality
Summary: We make some further generalization of well known Hilbert's inequality and its equivalent form in two dimensional case. Many other results of this type in recent years follows as a special case of our results.
CASTILLO, RENÉ ERLIN +1 more
openaire +3 more sources

