Results 11 to 20 of about 1,029 (208)

On Some New Ostrowski–Mercer-Type Inequalities for Differentiable Functions

Axioms, 2022
In this paper, we establish a new integral identity involving differentiable functions, and then we use the newly established identity to prove some Ostrowski–Mercer-type inequalities for differentiable convex functions.
Ifra Bashir Sial, Nichaphat Patanarapeelert, Muhammad Aamir Ali, Hüseyin Budak, Thanin Sitthiwirattham   +4 more
doaj   +1 more source

On some investigations of alpha-conformable Ostrowski–Trapezoid–Grüss dynamic inequalities on time scales

Journal of Inequalities and Applications, 2023
We prove new Ostrowski-type α-conformable dynamic inequalities and its companion inequalities on time scales by using the integration-by-parts formula on time scales associated with two parameters for functions with bounded second delta derivatives. When
Ahmed A. El-Deeb
doaj   +1 more source

Ostrowski Type Inequalities [PDF]

Proceedings of the American Mathematical Society, 1995
The following generalization of Ostrowski's inequality is given: Let \(f\in C^{n+1}([a,b])\), \(n\in\mathbb{N}\) and \(y\in [a,b]\) be fixed, such that \(f^{(k)}(y)=0\), \(k=1,\dots,n\). Then \[ \Biggl|{1\over b-a} \int^b_a f(t)dt- f(y)\Biggr|\leq {|f^{(n+1)}|_\infty\over (n+2)!} \Biggl({(y-a)^{n+2}+ (b-y)^{n+2}\over b-a}\Biggr).
openaire   +1 more source

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

, 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., Dragomir, S.S., Dragomir, Sever S, Cerone, Pietro, Kikianty, Eder   +4 more
core   +1 more source

Multiple Diamond-Alpha Integral in General Form and Their Properties, Applications

Mathematics, 2021
In this paper, we introduce the concept of n-dimensional Diamond-Alpha integral on time scales. In particular, it transforms into multiple Delta, Nabla and mixed integrals by taking different values of alpha.
Zhong-Xuan Mao, Ya-Ru Zhu, Jun-Ping Hou, Chun-Ping Ma, Shi-Pu Liu   +4 more
doaj   +1 more source

Two Ostrowski Type Inequalities for the Stieltjes Integral of Monotonic Functions [PDF]

, 2006
Two integral inequalities of Ostrowski type for the Stieltjes integral are given. The first is for monotonic integrators and Holder continuous integrands while the second considers the dual case, i.e., for monotonic integrands and Holder continuous ...
Cheung, WS, Cheung, Wing Sum, Dragomir, Sever S, Dragomir, SS   +3 more
core   +1 more source

Ostrowski Type Inequalities for s-Convex Functions via q-Integrals

Journal of Function Spaces, 2022
The new outcomes of the present paper are q-analogues (q stands for quantum calculus) of Hermite-Hadamard type inequality, Montgomery identity, and Ostrowski type inequalities for s-convex mappings.
Khuram Ali Khan, Allah Ditta, Ammara Nosheen, Khalid Mahmood Awan, Rostin Matendo Mabela   +4 more
doaj   +1 more source

Ostrowski Type Inequalities in the Grushin Plane [PDF]

Journal of Inequalities and Applications, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Heng-Xing Liu, Jing-Wen Luan
openaire   +4 more sources

On the Generalization of Ostrowski-Type Integral Inequalities via Fractional Integral Operators with Application to Error Bounds

Fractal and Fractional, 2023
The Ostrowski inequality expresses bounds on the deviation of a function from its integral mean. The Ostrowski’s type inequality is frequently used to investigate errors in numerical quadrature rules and computations.
Gauhar Rahman, Miguel Vivas-Cortez, Çetin Yildiz, Muhammad Samraiz, Shahid Mubeen, Mansour F. Yassen   +5 more
doaj   +1 more source

ON NEW OSTROWSKI TYPE INEQUALITIES

Demonstratio Mathematica, 2008
AbstractIn this short note, some new inequalities of Ostrowski type involving two functions and their derivatives for mapping whose derivations belong ...
Liu, Wenjun, Dong, Jianwei
openaire   +1 more source