Strong Differential Subordinations Obtained with New Integral Operator Defined by Polylogarithm Function by K. AL-Shaqsi

“…By using the polylogarithm function, a new integral operator is introduced. Strong differential subordination and superordination properties are determined for some families of univalent functions in the open unit disk which are associated with new integral operator by investigating appropriate classes of admissible functions. …”
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Coefficient Bounds for Certain Subclasses of Analytic Functions Defined by Komatu Integral Operator by Serap Bulut

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A Third-Order Differential Equation and Starlikeness of a Double Integral Operator by Rosihan M. Ali, See Keong Lee, K. G. Subramanian, A. Swaminathan

“…These functions f are given by a double integral operator of the form f(z)=∫01∫01‍G(ztμsν)t-μs-νds dt with G' subordinated to h. …”
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Inequalities for a Unified Integral Operator via α,m-Convex Functions by Baizhu Ni, Ghulam Farid, Kahkashan Mahreen

“…Recently, a unified integral operator has been introduced by Farid, 2020, which produces several kinds of known fractional and conformable integral operators defined in recent decades (Kwun, 2019, Remarks 6 and 7). …”
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On Some Grüss-Type Fractional Inequalities Using Saigo Fractional Integral Operator by Vaijanath L. Chinchane, Deepak B. Pachpatte

“…The main aim of this paper is to establish some new fractional integral inequalities of Grüss-type via the Saigo fractional integral operator.…”
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Subordination properties of P-valent functions defined by integral operators by Saeid Shams, S. R. Kulkarni, Jay M. Jahangiri

“…By applying certain integral operators to P-valent functions we define a comprehensive family of analytic functins. …”
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Generalized Fractional Integral Operators on Generalized Local Morrey Spaces by V. S. Guliyev, A. F. Ismayilova, A. Kucukaslan, A. Serbetci

“…We study the continuity properties of the generalized fractional integral operator Iρ on the generalized local Morrey spaces LMp,φ{x0} and generalized Morrey spaces Mp,φ. …”
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Multilinear Singular Integral Operators on Generalized Weighted Morrey Spaces by Yue Hu, Zhang Li, Yueshan Wang

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Convexity and Spirallikeness Conditions for Two New General Integral Operators by H. Özlem Güney, Serap Bulut

“…We define two new general integral operators for certain analytic functions in the unit disc and give some sufficient conditions for these integral operators on some subclasses of analytic functions.…”
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Multilinear Singular and Fractional Integral Operators on Weighted Morrey Spaces by Hua Wang, Wentan Yi

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Commutator Theorems for Fractional Integral Operators on Weighted Morrey Spaces by Zhiheng Wang, Zengyan Si

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On Some Integral Operators for Certain Classes of p-Valent Functions by Lokesh Vijayvargy, Pranay Goswami, Bushra Malik

“…We study some generalized integral operators for the classes of p-valent functions with bounded radius and boundary rotation. …”
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On Certain Analogues of Noor Integral Operators Associated with Fractional Integrals by Mojtaba Fardi, Ebrahim Amini, Shrideh Al-Omari

“…In this paper, we employ a q-Noor integral operator to perform a q-analogue of certain fractional integral operator defined on an open unit disc. …”
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A Class of Nonlinear Integral Operators Preserving Double Subordinations by Oh Sang Kwon, Nak Eun Cho

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Convexity of Certain q-Integral Operators of p-Valent Functions by K. A. Selvakumaran, S. D. Purohit, Aydin Secer, Mustafa Bayram

“…By applying the concept (and theory) of fractional q-calculus, we first define and introduce two new q-integral operators for certain analytic functions defined in the unit disc 𝒰. …”
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Higher Order Commutators of Fractional Integral Operator on the Homogeneous Herz Spaces with Variable Exponent by Liwei Wang, Meng Qu, Lisheng Shu

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Some New Fractional Inequalities Involving Convex Functions and Generalized Fractional Integral Operator by Majid K. Neamah, Alawiah Ibrahim, Hala Shaker Mehdy, Saleh S. Redhwan, Mohammed S. Abdo

“…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. …”
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On a Mathematical Model of Tumor-Immune Interaction with a Piecewise Differential and Integral Operator by Shahram Rezapour, Chernet Tuge Deressa, Robert G. Mukharlyamov, Sina Etemad

“…The representation of mathematical models via piecewise differential and integral operators for dynamic systems has this potential to capture cross-over behaviors such as a passage from deterministic to randomness which can be exhibited by different systems. …”
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Fractional Minkowski-Type Integral Inequalities via the Unified Generalized Fractional Integral Operator by Tingmei Gao, Ghulam Farid, Ayyaz Ahmad, Waewta Luangboon, Kamsing Nonlaopon

“…This paper is aimed at presenting the unified integral operator in its generalized form utilizing the unified Mittag-Leffler function in its kernel. …”
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Kolmogorov-type inequalities for hypersingular integrals with homogeneous characteristics by V.F. Babenko, O.V. Kovalenko, N.V. Parfinovych

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