Results 31 to 40 of about 73,742 (169)

On Ostrowski Type Inequalities for Generalized Integral Operators

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
It is well known that mathematical inequalities have played a very important role in solving both theoretical and practical problems. In this paper, we show some new results related to Ostrowski type inequalities for generalized integral operators.
Martha Paola Cruz, Ricardo Abreu-Blaya, Paul Bosch, José M. Rodríguez, José M. Sigarreta, Xiaolong Qin   +5 more
wiley   +1 more source

Some New Fractional Inequalities Involving Convex Functions and Generalized Fractional Integral Operator

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
In this manuscript, we are getting some novel inequalities for convex functions by a new generalized fractional integral operator setting. Our results are established by merging the (k, s)‐Riemann‐Liouville fractional integral operator with the generalized Katugampola fractional integral operator.
Majid K. Neamah, Alawiah Ibrahim, Hala Shaker Mehdy, Saleh S. Redhwan, Mohammed S. Abdo, Humberto Rafeiro   +5 more
wiley   +1 more source

Fractional Minkowski‐Type Integral Inequalities via the Unified Generalized Fractional Integral Operator

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
This paper is aimed at presenting the unified integral operator in its generalized form utilizing the unified Mittag‐Leffler function in its kernel. We prove the boundedness of this newly defined operator. A fractional integral operator comprising a unified Mittag‐Leffler function is used to establish further Minkowski‐type integral inequalities ...
Tingmei Gao, Ghulam Farid, Ayyaz Ahmad, Waewta Luangboon, Kamsing Nonlaopon, Sibel Yalçın   +5 more
wiley   +1 more source

A Grüss type inequality for vector-valued functions in Hilbert C∗-modules [PDF]

Journal of Inequalities and Applications, 2014
In this paper we prove a version of Grüss’ integral inequality for mappings with values in Hilbert C∗-modules. Some applications for such functions are also given. MSC:46L08, 46H25, 26D15.
A. Ghazanfari
semanticscholar   +1 more source

Chebyshev‐Type Inequalities Involving (k, ψ)‐Proportional Fractional Integral Operators

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
Expanding the analytical aspect of mathematics enables researchers to study more cosmic phenomena, especially with regard to the applied sciences related to fractional calculus. In the present paper, we establish some Chebyshev‐type inequalities in the case synchronous functions.
Bhagwat R. Yewale, Deepak B. Pachpatte, Tariq A. Aljaaidi, Wilfredo Urbina   +3 more
wiley   +1 more source

A comprehensive review of Grüss-type fractional integral inequality

AIMS Mathematics, 2023
A survey of results on Grüss-type inequalities associated with a variety of fractional integral and differential operators is presented. The fractional differential operators includes, Riemann-Liouville fractional integral operators, Riemann-Liouville ...
M. Tariq, S. Ntouyas, Hijaz Ahmad, A. A. Shaikh, Bandar Almohsen, E. Hıncal   +5 more
semanticscholar   +1 more source

Trace inequalities of Cassels and Grüss type for operators in Hilbert spaces [PDF]

, 2017
Some trace inequalities of Cassels type for operators in Hilbert spaces are provided. Applications in connection to Grüss inequality and for convex functions of selfadjoint operators are also ...
Dragomir, Sever S
core   +2 more sources

Some New Upper Bounds for the Y‐Index of Graphs

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
In mathematical chemistry, the topological indices with highly correlation factor play a leading role specifically for developing crucial information in QSPR/QSAR analysis. Recently, there exists a new graph invariant, namely, Y‐index of graph proposed by Alameri as the sum of the fourth power of each and every vertex degree of that graph.
Durbar Maji, Ganesh Ghorai, Faria Ahmed Shami, Naeem Jan   +3 more
wiley   +1 more source

Generalization of weighted Ostrowski-Gruss type inequality by using Korkine's identity

, 2020
We obtained generalized weighted Ostrowski Gruss type inequality with parameters, for differentiable functions by using the weighted Korkine’s identity and then we applied these obtain inequalities to probability density functions.
S. Dragomir, Nazia Irshad, Asif R Khan
semanticscholar   +1 more source

Time scale versions of the Ostrowski-Grüss type inequality with a parameter function

, 2018
In this paper, we obtain two Ostrowski–Grüss type inequalities on time scales for bounded differentiable mappings with a parameter function. Our result generalizes some known results in this direction, for example, a result due to Ngô and Liu [11].
E. Nwaeze
semanticscholar   +1 more source