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.…”
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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. …”
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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.…”
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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. …”
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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. …”
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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.…”
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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.…”
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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. …”
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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). …”
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A Subclass of Harmonic Functions Related to a Convolution Operator by Saqib Hussain, Akhter Rasheed, Maslina Darus

“…For this class we derive coefficient bounds, extreme points, and inclusion results and also show that this class is closed under an integral operator.…”
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Fractional Operators in p-adic Variable Exponent Lebesgue Spaces and Application to p-adic Derivative by Leonardo Fabio Chacón-Cortés, Humberto Rafeiro

“…In this paper, we prove the boundedness of the fractional maximal and the fractional integral operator in the p-adic variable exponent Lebesgue spaces. …”
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Triangular Function Method is Adopted to Solve Nonlinear Stochastic It o^–Volterra Integral Equations by Guo Jiang, Dan Chen, Fugang Liu

“…This article presents the numerical solutions of nonlinear stochastic It o^–Volterra integral equations by using the basis function method under the global Lipschitz condition. Integral operator matrixes of triangular functions are used to convert the nonlinear stochastic integral equations into a system of algebraic equations. …”
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Coefficient-Based Regression with Non-Identical Unbounded Sampling by Jia Cai

“…By introducing a suitable reproducing kernel Hilbert space (RKHS) and a suitable intermediate integral operator, elaborate analysis is presented by means of a novel technique for the sample error. …”
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On Existence and Uniqueness of Solutions of a Nonlinear Integral Equation by M. Eshaghi Gordji, H. Baghani, O. Baghani

“…The purpose of this paper is to study the existence of fixed point for a nonlinear integral operator in the framework of Banach space 𝑋∶=𝐶([𝑎,𝑏],ℝ𝑛). …”
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Multiple Weighted Estimates for Vector-Valued Multilinear Singular Integrals with Non-Smooth Kernels and Its Commutators by Dongxiang Chen, Dan Zou, Suzhen Mao

“…This note concerns multiple weighted inequalities for vector-valued multilinear singular integral operator with nonsmooth kernel and its corresponding commutators containing multilinear commutator and iterated commutator generated by the vector-valued multilinear operator and BMO functions. …”
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Subclasses of Analytic Functions Defined by Generalized Hypergeometric Functions by Badr S. Alkahtani, Saima Mustafa, Teodor Bulboacă

“…Inclusion results, radius problems, and some connections with the Bernardi-Libera-Livingston integral operator are discussed.…”
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A New Subclass of Harmonic Univalent Functions Associated with Dziok-Srivastava Operator by A. L. Pathak, K. K. Dixit, R. Agarwal

“…We obtain coefficient conditions, distortion bounds, and extreme points for the above class of harmonic univalent functions belonging to this class and discuss a class preserving integral operator. We also show that class studied in this paper is closed under convolution and convex combination. …”
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Iterative Splitting Methods for Integrodifferential Equations: Theory and Applications by Jürgen Geiser

“…Such modifications allow for applying standard iterative splitting schemes and for extending the schemes, respecting the integral operator. A numerical analysis is presented of the system of semidiscretised differential equations as abstract Cauchy problems. …”
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On Certain Classes of p-Valent Functions by Using Complex-Order and Differential Subordination by Abdolreza Tehranchi, Adem Kılıçman

“…Further we define a new related integral operator and also study the Fekete-Szego problem by proving some interesting properties.…”
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On Some Relationships of Certain K−Uniformly Analytic Functions Associated with Mittag-Leffler Function by Adel A. Attiya, Ekram E. Ali, Taher S. Hassan, Abeer M. Albalahi

“…Also, integral-preserving properties of these classes associated with the certain integral operator are also obtained.…”
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