Results 91 to 100 of about 2,341,083 (234)

Integral inequalities related to Hardy's inequality

Aequationes Mathematicae, 1985
Hardy's classical inequality \[ \int^{\infty}_{0}(x^{-1}F(x))^ pdx\leq (p/(p-1))^ p\int^{\infty}_{0}(f(x))^ pdx, \] where \(f\geq 0\), \(F(x)=\int^{x}_{0}f(t)dt\) and ...
Mohapatra, R.N., Russel, D.C.
openaire   +2 more sources

REFINEMENTS OF SOME RETARDED INTEGRAL INEQUALITIES OF GRONWALL-BELLMAN-BIHARI TYPE AND THEIR APPLICATIONS [PDF]

Surveys in Mathematics and its Applications, 2020
In this study, some generalizations and refinements of some retarded integral inequalities of Gronwall-Bellman-Bihari type are established. To show the feasibility of the obtained inequalities, some illustrative examples are also introduced.
Khaled Boukerrioua, Brahim Kilani, Imen Meziri   +2 more
doaj  

The Minkowski inequality involving generalized k-fractional conformable integral

Journal of Inequalities and Applications, 2019
In the research paper, the authors exploit the definition of a new class of fractional integral operators, recently proposed by Jarad et al. (Adv. Differ. Equ.
Shahid Mubeen, Siddra Habib, Muhammad Nawaz Naeem   +2 more
doaj   +1 more source

Square function inequality for oscillatory integral operators satisfying homogeneous Carleson-Sj\"olin type conditions

, 2019
In this paper, we establish an improved variable coefficient version of square function inequality, by which the local smoothing estimate $L^p_\alpha\rightarrow L^p$ for the Fourier integral operators satisfying cinematic curvature condition is further ...
Gao, Chuanwei, Miao, Changxing, Yang, Jianwei-Urbain   +2 more
core  

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
doaj   +1 more source

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
doaj  

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
doaj   +1 more source

Inequalities of Lyapunov and Stolarsky Type for Choquet-Like Integrals with respect to Nonmonotonic Fuzzy Measures

Journal of Function Spaces, 2019
The aim of this paper is to generalize the Choquet-like integral with respect to a nonmonotonic fuzzy measure for generalized real-valued functions and set-valued functions, which is based on the generalized pseudo-operations and σ-⊕-measures ...
Ting Xie, Zengtai Gong
doaj   +1 more source

Wirtinger-based integral inequality: Application to time-delay systems

at - Automatisierungstechnik, 2013
A. Seuret, F. Gouaisbaut
semanticscholar   +1 more source

Some Boas-Bellman Type Inequalities in 2-Inner Product Spaces

, 2003
Some inequalities in 2-inner product spaces generalizing Bessel's result that are similar to the Boas-Bellman inequality from inner product spaces, are given.
Cho, Y. J., Dragomir, S. S., Kim, S. S., Sofo, A.   +3 more
core   +1 more source