Results 21 to 30 of about 312 (167)

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

Integral inequalities via fractional quantum calculus

Journal of Inequalities and Applications, 2016
In this paper we prove several fractional quantum integral inequalities for the new q-shifting operator Φ q a ( m ) = q m + ( 1 − q ) a ${_{a}}\Phi_{q}(m) = qm + (1-q)a$ introduced in Tariboon et al. (Adv. Differ. Equ.
Weerawat Sudsutad, Sotiris K Ntouyas, Jessada Tariboon   +2 more
doaj   +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

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

General Opial Type Inequality and New Green Functions

Axioms, 2022
In this paper we provide many new results involving Opial type inequalities. We consider two functions—one is convex and the other is concave—and prove a new general inequality on a measure space (Ω,Σ,μ).
Ana Gudelj, Kristina Krulić Himmelreich, Josip Pečarić   +2 more
doaj   +1 more source

Discrete Grüss type inequality on fractional calculus [PDF]

, 2015
We give a discrete Grüss type inequality on fractional ...
Guvenilir, Ayse Feza, Ayşe Feza Güvenilir, Asliyuce, Serkan, Elvan Akin, Akin, Elvan, Kaymakcalan, Billur, Billur Kaymakçalan, Serkan Aslıyüce   +7 more
core   +1 more source

Some Integral Inequalities in 𝒱-Fractional Calculus and Their Applications

Mathematics, 2022
We consider the Steffensen–Hayashi inequality and remainder identity for V-fractional differentiable functions involving the six parameters truncated Mittag–Leffler function and the Gamma function.
Hari Mohan Srivastava, Pshtiwan Othman Mohammed, Ohud Almutairi, Artion Kashuri, Y. S. Hamed   +4 more
doaj   +1 more source

Trace inequalities of Shisha-Mond type for operators in Hilbert spaces

Concrete Operators, 2017
Some trace inequalities of Shisha-Mond type for operators in Hilbert spaces are provided. Applications in connection to Grüss inequality and for convex functions of selfadjoint operators are also given.
Dragomir Sever Silvestru
doaj   +1 more source

On Chebyshev Functional and Ostrowski-Grus Type Inequalities for Two Coordinates

International Journal of Analysis and Applications, 2016
In this paper, we construct Chebyshev functional and Gruss inequality on two coordinates. Also we establish Ostrowski-Gruss type inequality on two coordinates. Related mean value theorems of Lagrange and Cauchy type are also given.
Atiq Ur Rehman, Ghulam Farid
doaj   +2 more sources