Results 31 to 40 of about 21,859 (214)

Refined Hardy‐Type Inequalities Involving New Green Functions and Montgomery Identity

open access: yesDiscrete Dynamics in Nature and Society, Volume 2026, Issue 1, 2026.
Some Hardy‐type inequalities are established in the paper by the suitable combinations of new Green functions on time scales, which are furthermore extended with the help of generalized Montgomery identity involving Taylor formula on time scales. Bounds of Grüss‐ and Ostrowski‐type inequalities related to these Hardy‐type inequalities on time scales ...
Ammara Nosheen   +4 more
wiley   +1 more source

Sharp Inequalities of Ostrowski Type for Convex Functions Defined on Linear Spaces and Application

open access: yes, 2007
An Ostrowski type inequality for convex functions defined on linear spaces is generalised. Some inequalities which improve the Hermite–Hadamard type inequality for convex functions defined on linear spaces are derived using the obtained result.
Cerone, P.   +4 more
core   +1 more source

On Chebyshev Functional and Ostrowski-Grus Type Inequalities for Two Coordinates

open access: yesInternational Journal of Analysis and Applications, 2016
In this paper, we construct Chebyshev functional and Gruss inequality on two coordinates. Also we establish Ostrowski-Gruss type inequality on two coordinates. Related mean value theorems of Lagrange and Cauchy type are also given.
Atiq Ur Rehman, Ghulam Farid
doaj   +2 more sources

An Ostrowski type inequality for convex functions [PDF]

open access: yesPublikacije Elektrotehni?kog fakulteta - serija: matematika, 2005
An Ostrowski type integral inequality for convex functions and applications for quadrature rules and integral means are given. A refinement and a counterpart result for Hermite-Hadamard inequalities are obtained and some inequalities for pdf's and (HH)-divergence measure are also mentioned.
openaire   +2 more sources

On Dynamic Inequalities of Grüss, Ostrowski and Trapezoidal Type via Nabla‐α Conformable Integrals on Time Scales

open access: yesDiscrete Dynamics in Nature and Society, Volume 2026, Issue 1, 2026.
This study proves numerous novel Ostrowski‐type inequalities for nabla‐α differentiable functions by employing the α‐conformable fractional calculus on time scales. Generalized forms of Grüss and trapezoid‐type inequalities are also obtained for single‐variate functions with bounded second‐order nabla‐α derivatives.
Khuram Ali Khan   +5 more
wiley   +1 more source

Some Ostrowski type inequalities

open access: yesMathematical and Computer Modelling, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Better Approximation of Milne‐Type Inequalities via Convex Functions and ABK Fractional Integral Operators

open access: yesJournal of Applied Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we give an identity for the function which is twice differentiable. Through the applications of this identity and Atangana–Baleanu–Katugampola (ABK) fractional integrals, several fractional Milne‐type inequalities are derived for functions whose second derivatives inside the absolute value are convex. Furthermore, the table has also been
Muhammad Bilal Ahmed   +4 more
wiley   +1 more source

Ostrowski Via a Two Functions Pompeiu's Inequality

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
In this paper, some generalizations of Pompeiu's inequality for two complex-valued absolutely continuous functions are provided. They are applied to obtain some new Ostrowski type results.
Dragomir Silvestru Sever
doaj   +1 more source

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. In current paper, we obtain new versions of Ostrowski’s type integral inequalities by implementing proposed general form of 7-step quadratic kernel.
M. M. Saleem   +4 more
openaire   +2 more sources

Visualizing Fractional Integral Inequalities Using Euler’s Beta Function and Extended Convexity

open access: yesJournal of Applied Mathematics, Volume 2026, Issue 1, 2026.
In this research article, we present various extensions and refinements of Hermite–Hadamard and related fractional integral inequalities by utilizing the unique characteristics of Euler’s beta and extended convex functions. In some of these results, Euler’s beta function is used as a weight function, while in the others, Euler’s incomplete beta ...
Muhammad Imran   +6 more
wiley   +1 more source

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