Results 11 to 20 of about 4,396 (195)

A generalization of Ostrowski inequality on time scales for k points

Applied Mathematics and Computation, 2008
In this paper we first generalize the Ostrowski inequality on time scales for k points and then unify corresponding continuous and discrete versions. We also point out some particular Ostrowski type inequalities on time scales as special cases.Comment ...
Agarwal, Bohner, Bohner, Bohner, Bohner, Dragomir, Geng, Lakshmikantham, Liu, Liu, Mitrinović, Mitrinović, Quõc-Anh Ngô, Roman, Su, Wenjun Liu, Wong   +16 more
core   +3 more sources

Ostrowski’s inequality on time scales

Applied Mathematics Letters, 2008
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openaire   +3 more sources

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

Generalizations of Hardy-Type Inequalities by Montgomery Identity and New Green Functions

Axioms, 2023
In this paper we extend general Hardy’s inequality by appropriately combining Montgomery’s identity and Green functions. Related Grüss and Ostrowski-type inequalities are also derived.
Kristina Krulić Himmelreich, Josip Pečarić, Dora Pokaz, Marjan Praljak   +3 more
doaj   +1 more source

On a variant of Čebyšev’s inequality of the Mercer type

Journal of Inequalities and Applications, 2020
We consider the discrete Jensen–Mercer inequality and Čebyšev’s inequality of the Mercer type. We establish bounds for Čebyšev’s functional of the Mercer type and bounds for the Jensen–Mercer functional in terms of the discrete Ostrowski inequality ...
Anita Matković, Josip Pečarić
doaj   +1 more source

Generalized Ostrowski-Gruss Like Inequality on Time Scales [PDF]

Sahand Communications in Mathematical Analysis, 2023
In this paper, we present a generalization of the Montgomery Identity to various time scale versions, including the discrete case, continuous case, and the case of quantum calculus.
Faraz Mehmood, Asif Khan, Muhammad Shaikh   +2 more
doaj   +1 more source

Two-point Ostrowski and Ostrowski–Grüss type inequalities with applications [PDF]

The Journal of Analysis, 2019
In this work, an extension of two-point Ostrowski's formula for $n$-times differentiable functions is proved. A generalization of Taylor formula is deduced. An identity of Fink type for this extension is provided. Error estimates for the considered formulas are also given. Two-point Ostrowski-Gruss type inequalities are pointed out.
Awan, Khalid Mahmood, Pečarić, Josip, Ribičić Penava, Mihaela   +2 more
openaire   +6 more sources

New general integral inequalities for some GA-convex and quasi-geometrically convex functions via fractional integrals [PDF]

, 2013
In this paper, the author introduces the concept of the quasi-geometrically convex and defines a new identity for fractional integrals. By using of this identity, author obtains new estimates on generalization of Hadamard, Ostrowski and Simpson type ...
Iscan, Imdat
core   +2 more sources

Two-point Ostrowski inequality [PDF]

Mathematical Inequalities & Applications, 2001
A generalization of a classical Ostrowski inequality is proved. As a consequence, an improvement of a recent result of Barnett and Dragomir is given.
Pečarić, Josip, Matić, Marko
openaire   +2 more sources

An Application of Hayashi’s Inequality for Differentiable Functions

Mathematics, 2022
In this work, we offer new applications of Hayashi’s inequality for differentiable functions by proving new error estimates of the Ostrowski- and trapezoid-type quadrature rules.
Mohammad W. Alomari, Milica Klaričić Bakula   +1 more
doaj   +1 more source