Results 31 to 40 of about 1,483,475 (271)

The Grüss-Type and Some Other Related Inequalities via Fractional Integral with Respect to Multivariate Mittag-Leffler Function

open access: yesFractal and Fractional, 2022
In the recent era of research, the field of integral inequalities has earned more recognition due to its wide applications in diverse domains. The researchers have widely studied the integral inequalities by utilizing different approaches.
Yabin Shao   +5 more
doaj   +1 more source

Generalized proportional fractional integral functional bounds in Minkowski’s inequalities

open access: yesAdvances in Difference Equations, 2021
In this research paper, we improve some fractional integral inequalities of Minkowski-type. Precisely, we use a proportional fractional integral operator with respect to another strictly increasing continuous function ψ.
Tariq A. Aljaaidi   +4 more
doaj   +1 more source

On Slater's Integral Inequality [PDF]

open access: yesJournal of Mathematical Inequalities, 2011
In this paper we give a generalization of results given by Pecari´ ˇ c and Adil (2010). We use a log -convexity criterion and establish improvements and reverses of Slater’s and related inequalities.
Adil Khan, M., Pečarić, Josip
openaire   +2 more sources

Certain New Chebyshev and Grüss-Type Inequalities for Unified Fractional Integral Operators via an Extended Generalized Mittag-Leffler Function

open access: yesFractal and Fractional, 2022
In this paper, by adopting the classical method of proofs, we establish certain new Chebyshev and Grüss-type inequalities for unified fractional integral operators via an extended generalized Mittag-Leffler function. The main results are more general and
Wengui Yang
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   +6 more sources

On Some New Impulsive Integral Inequalities

open access: yesJournal of Inequalities and Applications, 2008
We establish some new impulsive integral inequalities related to certain integral inequalities arising in the theory of differential equalities. The inequalities obtained here can be used as handy tools in the theory of some classes of impulsive ...
Jianli Li
doaj   +2 more sources

Fractional Integral Inequalities via Hadamard’s Fractional Integral

open access: yesAbstract and Applied Analysis, 2014
We establish new fractional integral inequalities, via Hadamard’s fractional integral. Several new integral inequalities are obtained, including a Grüss type Hadamard fractional integral inequality, by using Young and weighted AM-GM inequalities.
Weerawat Sudsutad   +2 more
doaj   +1 more source

Nonoscillation and integral inequalities [PDF]

open access: yesBulletin of the American Mathematical Society, 1974
Publisher Summary This chapter discusses nonoscillation and integral inequalities. The chapter presents an assumption involving a system dy/dt = A(t) y where A = (a jk ) n 1 is an n × n real valued matrix and y = (y 1 , …, y n ) is an n column real valued vector.
openaire   +4 more sources

A New Ostrowski’s Type Inequality for Quadratic Kernel

open access: yesInternational Journal of Analysis and Applications, 2022
From the past few decades, the integral inequalities have been extensively researched. Integral inequalities are applied in innumerable mathematical problems.
M. M. Saleem   +4 more
doaj   +1 more source

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

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