Results 121 to 130 of about 1,954,320 (272)

An Extension of the Hilbert's Integral Inequality

open access: yesJournal of Inequalities and Applications, 2009
It is shown that an extension of the Hilbert's integral inequality can be established by introducing two parameters m   (m∈N) and λ   (λ>0). The constant factors expressed by the Euler number and π as well as by the Bernoulli number and π, respectively, are proved to be the best ...
Gao Xuemei, Gao Mingzhe, Zhou Yu
openaire   +4 more sources

Quantum Integral Inequalities of Simpson-Type for Strongly Preinvex Functions

open access: yesMathematics, 2019
In this paper, we establish a new q-integral identity, the result is then used to derive two q-integral inequalities of Simpson-type involving strongly preinvex functions.
Yongping Deng, M. U. Awan, Shanhe Wu
semanticscholar   +1 more source

An integral analogue of the Ostrowski inequality

open access: yesJournal of Inequalities and Applications, 1998
We give an integral analogue of the Ostrowski inequality and several extensions, allowing in particular for multiple linear ...
Pearce, Charles E. M.   +2 more
openaire   +3 more sources

Some Opial-type integral inequalities via (p,q)$(p,q)$-calculus

open access: yesJournal of Inequalities and Applications, 2019
In this paper, we introduce a new Opial-type inequality by using (p,q)$(p,q)$-calculus and establish some integral inequalities. We find a (p,q)$(p,q)$-generalization of a Steffensens-type integral inequality and some other inequalities.
M. Nasiruzzaman   +2 more
semanticscholar   +1 more source

A Main Class of Integral Inequalities with Applications

open access: yesMathematical Modelling and Analysis, 2016
In this paper, we define some integral transforms and obtain suitable bounds for them in order to introduce a main class of integral inequalities including Ostrowski and Ostrowski-Gr¨uss inequalities and various kinds of new integral inequalities.
Mohammad Masjed-Jamei   +2 more
doaj   +1 more source

On the family of the solution-curves of the integral inequality [PDF]

open access: bronze, 1954
Takasi Kanazawa   +2 more
openalex   +1 more source

Integral Inequalities for Monotone Functions

open access: yesJournal of Mathematical Analysis and Applications, 1997
Some integral inequalities for generalized monotone functions of one variable and an integral inequality for monotone functions of several variables are proved. Some applications are presented and discussed.
Ivan Perić   +2 more
openaire   +3 more sources

New Conformable Fractional Integral Inequalities of Hermite-Hadamard Type for Convex Functions

open access: yesSymmetry, 2019
In this work, we established new inequalities of Hermite–Hadamard type for convex functions via conformable fractional integrals. Through the conformable fractional integral inequalities, we found some new inequalities of Hermite–Hadamard type for convex
P. Mohammed, F. Hamasalh
semanticscholar   +1 more source

Refinements of Some Reverses of Schwarz's Inequality in 2-Inner Product Spaces and Applications for Integrals

open access: yes, 2003
Refinements of some recent reverse inequalities for the celebrated Cauchy-Bunyakovsky-Schwarz inequality in 2-inner product spaces are given.
Cerone, P.   +3 more
core   +1 more source

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