Results 21 to 30 of about 582 (128)

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

Generalizations of Hardy-Type Inequalities by Montgomery Identity and New Green Functions

Axioms, 2023
In this paper we extend general Hardy’s inequality by appropriately combining Montgomery’s identity and Green functions. Related Grüss and Ostrowski-type inequalities are also derived.
Kristina Krulić Himmelreich, Josip Pečarić, Dora Pokaz, Marjan Praljak   +3 more
doaj   +1 more source

Extended Jensen’s Functional for Diamond Integral via Hermite Polynomial

Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021
In this paper, with the help of Hermite interpolating polynomial, extension of Jensen’s functional for n‐convex function is deduced from Jensen’s inequality involving diamond integrals. Special Hermite conditions, including Taylor two‐point formula and Lagrange’s interpolation, are also deployed to find further extensions of Jensen’s functional.
Rabia Bibi, Fazilat Bibi, Ammara Nosheen, Josip Pečarić, Andrea Scapellato   +4 more
wiley   +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

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

On some inequalities relative to the Pompeiu–Chebyshev functional

Journal of Inequalities and Applications, 2020
In this paper we study the utility of the functional Pompeiu–Chebyshev in some inequalities. Some results obtained by Alomari will be generalized regarding inequalities with Pompeiu–Chebyshev type functionals, in which linear and positive functionals ...
Daniel Ianoşi, Adonia-Augustina Opriş
doaj   +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