Results 1 to 10 of about 563 (110)

On some integral inequalities of Grüss type involving the generalized fractional Saigo k-integral operator [PDF]

Heliyon
Using the generalized Saigo fractional integral operator, the authors of this study prove several novel fractional integral inequalities of the Grüss type.
Akhtar Abbas, Shahid Mubeen, Aziz Khan, Thabet Abdeljawad   +3 more
doaj   +2 more sources

On Some Grüss-Type Fractional Inequalities Using Saigo Fractional Integral Operator [PDF]

Journal of Mathematics, 2014
The main aim of this paper is to establish some new fractional integral inequalities of Grüss-type via the Saigo fractional integral operator.
Vaijanath L. Chinchane, Deepak B. Pachpatte   +1 more
doaj   +3 more sources

New time scale generalizations of the Ostrowski-Grüss type inequality for k points [PDF]

Journal of Inequalities and Applications, 2017
Two Ostrowski-Grüss type inequalities for k points with a parameter λ ∈ [ 0 , 1 ] $\lambda\in[0, 1]$ are hereby presented. The first generalizes a recent result due to Nwaeze and Tameru, and the second extends the result of Liu et al. to k points.
Eze R Nwaeze, Seth Kermausuor, Ana M Tameru   +2 more
doaj   +2 more sources

Two New Sharp Ostrowski-Grüss Type Inequalities [PDF]

Le Matematiche, 2013
The purpose of this paper is to use a variant of the Grüss inequality to derive two new sharp Ostrowski-Grüss type inequalities related to a perturbed trapezoidal type rule and a perturbed generalized interior point rule, respectively, which provide ...
Zheng Liu
doaj   +3 more sources

A Perturbed Version of General Weighted Ostrowski Type Inequality and Applications [PDF]

International Journal of Analysis and Applications, 2018
The main purpose of this paper is to derive some new generalizations of weighted Ostrowski type inequalities. The new established inequalities are carried out for a twice differentiable mapping in different L p spaces.
Waseem Ghazi Alshanti
doaj   +4 more sources

New fractional inequalities of Ostrowski-Grüss type [PDF]

Le Matematiche, 2014
In this paper, we improve and further generalize some Ostrowski-Grüss type inequalities for the fractional integrals by using new Montogomery identities.
Mehmet Zeki Sarikaya, Hatice Yaldiz, Nagihan Basak   +2 more
doaj   +3 more sources

(k, ψ)-Proportional Fractional Integral Pólya–Szegö- and Grüss-Type Inequalities

Fractal and Fractional, 2021
The purpose of this research was to discover a novel method to recover k-fractional integral inequalities of the Pólya–Szegö-type. We employ these generalized inequalities to investigate some new fractional integral inequalities of the Grüss-type.
Tariq A. Aljaaidi, Deepak B. Pachpatte, Mohammed S. Abdo, Thongchai Botmart, Hijaz Ahmad, Mohammed A. Almalahi, Saleh S. Redhwan   +6 more
doaj   +1 more source

Generalizations of some q-integral inequalities of Hölder, Ostrowski and Grüss type

AIMS Mathematics, 2023
This paper investigates some well-known inequalities for $ q $-$ h $-integrals. These include Hölder, Ostrowski, Grüss and Opial type inequalities.
Da Shi , Ghulam Farid, Abd Elmotaleb A. M. A. Elamin , Wajida Akram, Abdullah A. Alahmari , B. A. Younis   +5 more
doaj   +1 more source

Grüss-Type Inequalities for Vector-Valued Functions

Mathematics, 2022
Grüss-type inequalities have been widely studied and applied in different contexts. In this work, we provide and prove vectorial versions of Grüss-type inequalities involving vector-valued functions defined on Rn for inner- and cross-products.
Mohammad W. Alomari, Christophe Chesneau, Víctor Leiva   +2 more
doaj   +1 more source

Some integral inequalities related to Wirtinger's result for p-norms

Cubo, 2021
In this paper we establish several natural consequences of some Wirtinger type integral inequalities for p-norms. Applications related to the trapezoid unweighted inequalities, of Grüss' type inequalities and reverses of Jensen's inequality are also ...
S. S. Dragomir
doaj   +1 more source