Results 21 to 30 of about 495 (141)

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

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

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

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

Quantum Integral Inequalities with Respect to Raina’s Function via Coordinated Generalized Ψ‐Convex Functions with Applications

Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021
In accordance with the quantum calculus, we introduced the two variable forms of Hermite‐Hadamard‐ (HH‐) type inequality over finite rectangles for generalized Ψ‐convex functions. This novel framework is the convolution of quantum calculus, convexity, and special functions.
Saima Rashid, Saad Ihsan Butt, Shazia Kanwal, Hijaz Ahmad, Miao-Kun Wang, Tuncer Acar   +5 more
wiley   +1 more source

Approximation Properties of New Modified Gamma Operators

Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021
This paper is aimed at constructing new modified Gamma operators using the second central moment of the classic Gamma operators. And we will compute the first, second, fourth, and sixth order central moments by the moment computation formulas, and their quantitative properties are researched. Then, the global results are established in certain weighted
Yun-Shun Wu, Wen-Tao Cheng, Wei-Ping Zhou, Lun-Zhi Deng, Tuncer Acar   +4 more
wiley   +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

q-Integral inequalities associated with some fractional q-integral operators [PDF]

, 2015
In recent years fractional q-integral inequalities have been investigated by many authors. Therefore, the fractional q-integral inequalities have become one of the most powerful and far-reaching tools for the development of many branches of pure and ...
Agarwal, P, Dragomir, Sever S, Jain, S, Park, J   +3 more
core   +1 more source

Desigualdades fraccionarias generalizadas de tipo Ostrowski y Grüss que involucran varias funciones valoradas del álgebra de Banach [PDF]

, 2022
Usando fórmulas de Taylor vectoriales fraccionarias izquierda y derecha de Caputo generalizadas, establecemos desigualdades fraccionarias mixtas de tipo Ostrowski y Grüss que involucran varias funciones valoradas del álgebra de Banach.
Anastassiou, George A.
core   +2 more sources