Results 31 to 40 of about 1,540,266 (274)

Differential and integral inequalities [PDF]

open access: yesProceedings of the American Mathematical Society, 1964
RAYMOND M. REDHEFFER This note presents new proofs for some important inequalities [l]. The assumptions on positivity or monotony of the various functions are weaker than those in [l] or in the original references (see [l]) and yet the method seems astonishingly elementary. We set u' = du/dt, and ?2^0; the reversal of inequalities for ? 0. Then (1) Tu ^
openaire   +1 more source

On an Integral Inequality [PDF]

open access: yesJournal of inequalities in pure and applied mathematics, 2004
In this article we give different sufficient conditions for the inequality $(\int_a^b f(x)^{; ; ; \alpha}; ; ; dx)^{; ; ; \beta}; ; ; \geq \int_a^b f(x)^{; ; ; \gamma}; ; ; dx$ to hold.
Pečarić, Josip, Pejković, Tomislav
openaire   +2 more sources

On Bellman-Bihari integral inequalities

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1982
Integral inequalities of the Bellman-Bihari type are established for integrals involving an arbitrary number of independent variables.
Eutiquio C. Young
doaj   +1 more source

On Opial-Type Integral Inequalities [PDF]

open access: yesJournal of Inequalities and Applications, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cheung, WS, Zhao, CJ
openaire   +6 more sources

Generalized Bihari Type Integral Inequalities and the Corresponding Integral Equations

open access: yesJournal of Inequalities and Applications, 2009
We study some special nonlinear integral inequalities and the corresponding integral equations in measure spaces. They are significant generalizations of Bihari type integral inequalities and Volterra and Fredholm type integral equations.
László Horváth
doaj   +2 more sources

On Some Milne–Mercer-Type Inequalities via Atangana–Baleanu Conformable Fractional Integrals for h-Convex Functions

open access: yesMathematics
In this paper, we establish new Milne–Mercer-type inequalities via Atangana–Baleanu conformable fractional integral operators for differentiable functions whose derivatives in absolute value are h-convex.
Jen Chieh Lo
doaj   +1 more source

Inequalities for Beta and Gamma Functions Via Some Classical and New Integral Inequalities [PDF]

open access: yes, 1999
In this survey paper we present the natural application of certain integral inequalities such as, Chebychev's inequality for synchronous and asynchronous mappings, Holder's inequality and Gruss' and Ostrowski's inequalities for the celebrated Euler's ...
Agarwal, R. P   +2 more
core   +3 more sources

Some generalized Riemann-Liouville k-fractional integral inequalities

open access: yesJournal of Inequalities and Applications, 2016
The focus of the present study is to prove some new Pólya-Szegö type integral inequalities involving the generalized Riemann-Liouville k-fractional integral operator.
Praveen Agarwal   +2 more
doaj   +1 more source

An Affine Integral Inequality of an Arbitrary Degree for Stability Analysis of Linear Systems With Time-Varying Delays

open access: yesIEEE Access, 2021
This paper is concerned with the stability analysis problems of linear systems with time-varying delays using integral inequalities. To reduce the conservatism of stability criteria obtained with Lyapunov-Kraosvksii approach, there has been a growing ...
Nam Kyu Kwon, Seok Young Lee
doaj   +1 more source

Disconjugacy and integral inequalities [PDF]

open access: yesTransactions of the American Mathematical Society, 1980
The basic data in this paper are a disconjugate differential operator and an associated two-point boundary value problem. These define in a natural way a cone of functions satisfying a differential inequality with respect to the operator. By using a result of P. W. Bates and G. B.
openaire   +1 more source

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