Results 1 to 10 of about 1,652,008 (276)

Improvement of Aczél's Inequality and Popoviciu's Inequality

Journal of Inequalities and Applications, 2007
We generalize and sharpen Aczél's inequality and Popoviciu's inequality by means of two classical inequalities, a unified improvement of Aczél's inequality and Popoviciu's inequality is given.
Shanhe Wu
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Generalizations of Minkowski and Beckenbach–Dresher Inequalities and Functionals on Time Scales

International Journal of Analysis and Applications, 2020
We generalize integral forms of the Minkowski inequality and Beckenbach–Dresher inequality on time scales. Also, we investigate a converse of Minkowski’s inequality and several functionals arising from the Minkowski inequality and the Beckenbach–Dresher ...
Rabia Bibi, Anees Ur Rahman, Muhammad Shahzad   +2 more
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Integral Jensen–Mercer and Related Inequalities for Signed Measures with Refinements

Mathematics
In this paper, we give necessary and sufficient conditions for the integral Jensen–Mercer inequality and closely related inequalities to be satisfied for finite signed measures.
László Horváth
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Properties and Applications of Symmetric Quantum Calculus

Fractal and Fractional
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, Muhammad Zakria Javed, Muhammad Uzair Awan, Silvestru Sever Dragomir, Ahmed M. Zidan   +4 more
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An extended Hilbert's integral inequality in the whole plane with parameters. [PDF]

J Inequal Appl, 2018
He L, Li Y, Yang B.
europepmc   +1 more source

The Boundedness of Generalized Fractional Integral Operators on Small Morrey Spaces

Cauchy: Jurnal Matematika Murni dan Aplikasi
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, Corina Karim, Marjono Marjono, Hairur Rahman   +3 more
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A Hilbert-type integral inequality in the whole plane related to the kernel of exponent function. [PDF]

J Inequal Appl, 2018
Zhong Y, Huang M, Yang B.
europepmc   +1 more source

A Hilbert-type fractal integral inequality and its applications. [PDF]

J Inequal Appl, 2017
Liu Q, Sun W.
europepmc   +1 more source

A New Nonlinear Retarded Integral Inequality and Its Application

Journal of Inequalities and Applications, 2010
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  

Generalizations of Integral Inequalities with Two Variables and their Applications

四川大学学报. 自然科学版, 2016
In this paper, we discuss a retarded nonlinear integral inequality with two variables. By using the techniques of monotonization and reducing the function outside the integral to constant, we give an estimation of the unknown function in the inequality ...
ZHEN Bing, ZHONG Ji-Yu, DUAN Ying-Tao
doaj