Results 21 to 30 of about 7,092,593 (125)

Extensions of Ostrowski Type Inequalities via h-Integrals and s-Convexity

Journal of Mathematics, 2021
In this paper, Hölder, Minkowski, and power mean inequalities are used to establish Ostrowski type inequalities for s-convex functions via h-calculus. The new inequalities are generalized versions of Ostrowski type inequalities available in literature.
Khuram Ali Khan, Khalid Mahmood Awan, Allah Ditta, Ammara Nosheen, Rostin Mabela Matendo   +4 more
doaj   +1 more source

New Developments on Ostrowski Type Inequalities via q-Fractional Integrals Involving s-Convex Functions

Journal of Function Spaces, 2022
In the present paper, q-fractional integral operators are used to construct quantum analogue of Ostrowski type inequalities for the class of s-convex functions. The limiting cases include the nonfractional existing cases from literature.
Xiaoming Wang, Khuram Ali Khan, Allah Ditta, Ammara Nosheen, Khalid Mahmood Awan, Rostin Matendo Mabela   +5 more
doaj   +1 more source

Ostrowski Type Inequalities for Higher-Order Derivatives

Journal of Inequalities and Applications, 2009
This paper has shown some new Ostrowski type inequalities involving higher-order derivatives. The results generalized the Ostrowski type inequalities. Applications of the inequalities are also given.
Zhao Xilai, Wang Mingjin
doaj   +2 more sources

Ostrowski type inequalities involving conformable integrals via preinvex functions

AIP Advances, 2020
In this research article, we use preinvex functions to develop Ostrowski type inequalities for conformable integrals. First, we aim for an identity linked with the Ostrowski inequality.
Yousaf Khurshid, Muhammad Adil Khan, Yu-Ming Chu   +2 more
doaj   +1 more source

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

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

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

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

Fractional Ostrowski Type Inequalities via $\phi-\lambda-$Convex Function [PDF]

Sahand Communications in Mathematical Analysis
In this paper, we aim to  state well-known Ostrowski inequality via fractional Montgomery identity for the class of $\phi-\lambda-$ convex functions. This generalized class of convex function contains other well-known convex functions from literature ...
Ali Hassan, Asif Khan
doaj   +1 more source