Results 1 to 10 of about 1,676,522 (286)

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

Inequalities for a Unified Integral Operator and Associated Results in Fractional Calculus

IEEE Access, 2019
Integral operators are useful in real analysis, mathematical analysis, functional analysis and other subjects of mathematical approach. The goal of this paper is to study a unified integral operator via convexity.
Ghulam Farid, Young Chel Kwun, Shin Min Kang   +2 more
exaly   +3 more sources

On Some Fractional Integral Inequalities Involving Caputo–Fabrizio Integral Operator

Axioms, 2021
In this paper, we deal with the Caputo–Fabrizio fractional integral operator with a nonsingular kernel and establish some new integral inequalities for the Chebyshev functional in the case of synchronous function by employing the fractional integral ...
Vaijanath L. Chinchane, Asha B. Nale, Satish K. Panchal, Christophe Chesneau   +3 more
doaj   +2 more sources

Sufficient Conditions for Univalence of an Integral Operator

Journal of Inequalities and Applications, 2008
In this paper we have introduced an integral general operator. For this general operator which is a generalization of more known integral operators we have demonstrated some univalence properties.
Gheorghe Oros, Georgia Irina Oros, Daniel Breaz   +2 more
exaly   +2 more sources

μ-Hankel operators on Hilbert spaces [PDF]

Opuscula Mathematica, 2021
A class of operators is introduced (\(\mu\)-Hankel operators, \(\mu\) is a complex parameter), which generalizes the class of Hankel operators. Criteria for boundedness, compactness, nuclearity, and finite dimensionality are obtained for operators of ...
Adolf Mirotin, Ekaterina Kuzmenkova
doaj   +1 more source

Concerning a Novel Integral Operator and a Specific Category of Starlike Functions

Mathematics, 2023
In this study, a novel integral operator that extends the functionality of some existing integral operators is presented. Specifically, the integral operator acts as the inverse operator to the widely recognized Opoola differential operator.
Ayotunde Olajide Lasode, Timothy Oloyede Opoola, Isra Al-Shbeil, Timilehin Gideon Shaba, Huda Alsaud   +4 more
doaj   +1 more source

A Univalence Preserving Integral Operator

Journal of Inequalities and Applications, 2008
We define an integral operator denoted by I, and we give sufficient conditions such that F=I(f1,f2,…,fm) is univalent.
Georgia Irina Oros
doaj   +2 more sources

Regularized Asymptotic Solutions of a Singularly Perturbed Fredholm Equation with a Rapidly Varying Kernel and a Rapidly Oscillating Inhomogeneity

Axioms, 2022
This article investigates an equation with a rapidly oscillating inhomogeneity and with a rapidly decreasing kernel of an integral operator of Fredholm type.
Dana Bibulova, Burkhan Kalimbetov, Valeriy Safonov   +2 more
doaj   +1 more source

Integral $K$-Operator Frames for $End_{\mathcal{A}}^{\ast}(\mathcal{H})$ [PDF]

Sahand Communications in Mathematical Analysis, 2021
In this work, we introduce a new concept of integral $K$-operator frame for the set of all adjointable operators from a Hilbert $C^{\ast}$-module $\mathcal{H}$ to  itself denoted by $End_{\mathcal{A}}^{\ast}(\mathcal{H}) $.
Hatim Labrigui, Samir Kabbaj
doaj   +1 more source

A characterization for $B$-singular integral operator and its commutators on generalized weighted $B$-Morrey spaces

Karpatsʹkì Matematičnì Publìkacìï, 2023
We study the maximal operator $M_{\gamma}$ and the singular integral operator $A_{\gamma}$, associated with the generalized shift operator. The generalized shift operators are associated with the Laplace-Bessel differential operator.
J.J. Hasanov, I. Ekincioglu, C. Keskin
doaj   +1 more source