Saigo Fractional q-Differentiation Operator Involving Generalized q-Mittag–Leffler Function by Mulugeta Dawud Ali, D. L. Suthar

“…Corresponding assertions in terms of Weyl q-integral operator, Kober q-integral operator, and Riemann–Liouville q-integral operator are presented. …”
Get full text

Sandwich-Type Results and Existence Results of Analytic Functions Associated with the Fractional <i>q</i>-Calculus Operator by Sudhansu Palei, Madan Mohan Soren, Daniel Breaz, Luminiţa-Ioana Cotîrlǎ

“…Using this <i>q</i>-integral operator, we obtain sandwich-type results. Furthermore, we employ the existence of univalent solutions to a <i>q</i>-differential equation connected with a fractional <i>q</i>-integral operator of fractional order. …”
Get full text

Some new applications of the fractional integral and four-parameter Mittag-Leffler function. by Ahmad A Abubaker, Khaled Matarneh, Suha B Al-Shaikh, Mohammad Faisal Khan

“…The purpose of this study is to propose and explore a new integral operator of order λ using fractional calculus and the four-parameter MLF. …”
Get full text

Image Denoising of Adaptive Fractional Operator Based on Atangana–Baleanu Derivatives by Xiaoran Lin, Yachao Wang, Guohao Wu, Jing Hao

“…A fractional integral operator can preserve an image edge and texture details as a denoising filter. …”
Get full text

Weighted norm inequalities for a class of rough singular integrals by H. M. Al-Qassem

“…Weighted norm inequalities are proved for a rough homogeneous singular integral operator and its corresponding maximal truncated singular operator. …”
Get full text

Φ-Admissible Sublinear Singular Operators and Generalized Orlicz-Morrey Spaces by Javanshir J. Hasanov

“…These conditions are satisfied by most of the operators in harmonic analysis, such as the Hardy-Littlewood maximal operator and Calderón-Zygmund singular integral operator.…”
Get full text

(r,p)-absolutely summing operators on the space C (T,X) and applications by Dumitru Popa

“…Also we prove that the injective tensor product of an integral operator and an (r,p)-absolutely summing operator is an (r,p)-absolutely summing operator.…”
Get full text

Two-weight norm inequalities for the rough fractional integrals by Yong Ding, Chin-Cheng Lin

“…The authors give the weighted (Lp,Lq)-boundedness of the rough fractional integral operator TΩ,α and the fractional maximal operator MΩ,α with two different weight functions.…”
Get full text

Starlike and Convex Properties for Hypergeometric Functions by Oh Sang Kwon, Nak Eun Cho

“…We also consider an integral operator related to the hypergeometric function.…”
Get full text

On Certain Subclass of Harmonic Starlike Functions by A. Y. Lashin

“…Further, a class preserving integral operator and connections with various previously known results are briefly discussed.…”
Get full text

Multiresolution Expansion and Approximation Order of Generalized Tempered Distributions by Byung Keun Sohn

“…In addition, we show that the kernel of an integral operator provides approximation order in in the context of shift-invariant spaces.…”
Get full text

Mittag-Leffler Operator Connected with Certain Subclasses of Bazilevic̆ Functions by Om Ahuja, Asena Çetinkaya, Naveen Kumar Jain

“…We examine inclusion properties, radius problems, and an application of the generalized Bernardi–Libera–Livingston integral operator for this function class.…”
Get full text

Application of Müntz Orthogonal Functions on the Solution of the Fractional Bagley–Torvik Equation Using Collocation Method with Error Stimate by S. Akhlaghi, M. Tavassoli Kajani, M. Allame

“…We obtain the Riemann–Liouville fractional integral operator for Müntz orthogonal functions so that we can reduce the complexity of calculations and increase the speed of solving the problem, which can be seen in the process of running the Maple program. …”
Get full text

On a Subclass of Harmonic Convex Functions of Complex Order by N. Magesh, S. Mayilvaganan

“…Further, we obtain the closure property of this class under integral operator.…”
Get full text

Generalized Fractional-Order Bernoulli Functions via Riemann-Liouville Operator and Their Applications in the Evaluation of Dirichlet Series by Jorge Sanchez-Ortiz

“…In this work, we define a new class of functions of the Bernoulli type using the Riemann-Liouville fractional integral operator and derive a generating function for these class generalized functions. …”
Get full text

A Connection between Basic Univalence Criteria by Horiana Tudor

“…We obtain a sufficient condition for the analyticity and the univalence of a class of functions defined by an integral operator. The well-known univalence criteria of Alexander, Noshiro-Warschawski, Nehari, Goluzin, Ozaki-Nunokawa, Becker, and Lewandowski would follow upon specializing the functions and the parameters involved in the main result. …”
Get full text

Higher-Order Commutators of Parametric Marcinkiewicz Integrals on Herz Spaces with Variable Exponent by Hongbin Wang, Dunyan Yan

“…In this paper, we obtain some boundedness of the parametric Marcinkiewicz integral operator μΩρ and its higher-order commutator [bm,μΩρ] on Herz spaces with variable exponent.…”
Get full text

A Study on Becker's Univalence Criteria by Maslina Darus, Imran Faisal

“…These subclasses are associated with a generalized integral operator. The extended Becker-typed univalence criteria will be studied for these subclasses.…”
Get full text

Positive Solutions for a Class of Fourth-Order p-Laplacian Boundary Value Problem Involving Integral Conditions by Yan Sun

“…The main methods in the paper are constructing an available integral operator and combining fixed point index theory. …”
Get full text

The Boundedness of Marcinkiewicz Integral Associated with Schrödinger Operator and Its Commutator by Dongxiang Chen, Dan Zou

“…The authors prove that Marcinkiewicz integral operator is not only are bounded on Lp, for 1<P<∞, but also a bounded map from L1(Rn) to weak L1(Rn). …”
Get full text