Results 61 to 70 of about 582 (128)

Harmonic Multivariate Ostrowski and Grüss Type Inequalities for Several Functions

open access: yesDemonstratio Mathematica, 2015
Here we derive very general multivariate Ostrowski and Grüss type inequalities for several functions by involving harmonic polynomials. Estimates are with respect to all basic norms.
Anastassiou George A.
doaj   +1 more source

Some new fractional q-integral Grüss-type inequalities and other inequalities [PDF]

open access: yes, 2012
In this paper, we employ a fractional q-integral on the specific time scale, T t 0 =
Chaowu Zhu, Qingbo Zhao, Wengui Yang
core   +1 more source

On Grüss inequalities within generalized K-fractional integrals

open access: yesAdvances in Difference Equations, 2020
In this paper, we introduce the generalized K $\mathcal{K}$ -fractional integral in the frame of a new parameter K > 0 $\mathcal{K}>0$ . This paper offers some new important inequalities of Grüss type using the generalized K $\mathcal{K}$ -fractional ...
Saima Rashid   +5 more
doaj   +1 more source

Generalized n Dimensional Ostrowski Type and Grüss Type Inequalities on Time Scales

open access: yesJournal of Applied Mathematics, 2014
Some new generalized n dimensional Ostrowski type and Grüss type integral inequalities on time scales are established in this paper. The present results unify continuous and discrete analysis, and extend some known results in the literature.
Bin Zheng, Qinghua Feng
doaj   +1 more source

Levinson-type inequalities via new Green functions and Montgomery identity

open access: yesOpen Mathematics, 2020
In this study, Levinson-type inequalities are generalized by using new Green functions and Montgomery identity for the class of k-convex functions (k ≥ 3). Čebyšev-, Grüss- and Ostrowski-type new bounds are found for the functionals involving data points
Adeel Muhammad   +3 more
doaj   +1 more source

Levinson type inequalities for higher order convex functions via Abel–Gontscharoff interpolation

open access: yesAdvances in Difference Equations, 2019
In this paper, Levinson type inequalities are studied for the class of higher order convex functions by using Abel–Gontscharoff interpolation. Cebyšev, Grüss, and Ostrowski-type new bounds are also found for the functionals involving data points of two ...
Muhammad Adeel   +3 more
doaj   +1 more source

On ostrowski and grüss type discrete inequalities for second forward differences [PDF]

open access: yes
[[abstract]]The aim of the present article is to establish two new discrete Ostrowski and Gr"uss type inequalities involving functions and their first second forward differences.[[notice]]補正完畢[[journaltype ...
Hwang, Dah-yan
core   +1 more source

Generalized Fractional Ostrowski and Grüss type inequalities involving several Banach algebra valued function

open access: yesRevista Integración, 2022
Using generalized Caputo fractional left and right vectorial Taylor formulae, we establish mixed fractional Ostrowski and Grüss type inequalities involving several Banach algebra valued functions. The estimates are with respect to all norms ∥·∥p, 1 ≤p ≤∞
George A. Anastassiou
doaj  

Certain Grüss-type inequalities via tempered fractional integrals concerning another function

open access: yesJournal of Inequalities and Applications, 2020
We study a generalized left sided tempered fractional (GTF)-integral concerning another function Ψ in the kernel. Then we investigate several kinds of inequalities such as Grüss-type and certain other related inequalities by utilizing the GTF-integral ...
Gauhar Rahman   +3 more
doaj   +1 more source

Orthogonal Projection of an Infinite Round Cone in Real Hilbert Space [PDF]

open access: yes, 2015
We fully characterize orthogonal projections of infinite right circular (round) cones in real Hilbert spaces. Another interpretation is that, given two vectors in a real Hilbert space, we establish the optimal estimate on the angle between the orthogonal
Kosor, Mate
core   +2 more sources

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