On some integral inequalities of Grüss type involving the generalized fractional Saigo k-integral operator by Akhtar Abbas, Shahid Mubeen, Aziz Khan, Thabet Abdeljawad

Subjects: “…Saigo's k-fractional integral operator…”
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Predicting nonequilibrium Green’s function dynamics and photoemission spectra via nonlinear integral operator learning by Yuanran Zhu, Jia Yin, Cian C Reeves, Chao Yang, Vojtěch Vlček

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Remark on the boundedness of the Cauchy singular integral operator on variable Lebesgue spaces with radial oscillating weights by Alexei Yu. Karlovich

“…Samko have proved a sufficient condition for the boundedness of the Cauchy singular integral operator on variable Lebesgue spaces with radial oscillating weights over Carleson curves. …”
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On Behavior Laplace Integral Operators with Generalized Bessel Matrix Polynomials and Related Functions by Muajebah Hidan, Mohamed Akel, Salah Mahmoud Boulaaras, Mohamed Abdalla

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On New p-Valent Meromorphic Function Involving Certain Differential and Integral Operators by Aabed Mohammed, Maslina Darus

“…Combining the differential operator and certain integral operator, we introduce a general p-valent meromorphic function. …”
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The Boundedness of Some Integral Operators on Weighted Hardy Spaces Associated with Schrödinger Operators by Hua Wang

“…Then, by using the atomic decomposition and molecular characterization of HLp(w), we will show that the imaginary power Liγ is bounded on HLp(w) for n/(n+1)<p≤1, and the fractional integral operator L-α/2 is bounded from HLp(w) to HLq(wq/p), where 0<α<min{n/2,1}, n/(n+1)<p≤n/(n+α), and 1/q=1/p-α/n.…”
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A Review on Approximation Results for Integral Operators in the Space of Functions of Bounded Variation by Laura Angeloni, Gianluca Vinti

“…We present a review on recent approximation results in the space of functions of bounded variation for some classes of integral operators in the multidimensional setting. In particular, we present estimates and convergence in variation results for both convolution and Mellin integral operators with respect to the Tonelli variation. …”
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Inequalities for Unified Integral Operators via Strongly α,h‐m-Convexity by Zhongyi Zhang, Ghulam Farid, Kahkashan Mahreen

“…By applying this new definition, we present inequalities for unified integral operators which have connection with many of the well-known results for different kinds of convex functions. …”
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Estimates for Multilinear Commutators of Generalized Fractional Integral Operators on Weighted Morrey Spaces by Sha He, Taotao Zheng, Xiangxing Tao

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Certain Properties of Generalized M-Series under Generalized Fractional Integral Operators by D. L. Suthar, Fasil Gidaf, Mitku Andualem

“…The aim of this study is to introduce new (presumed) generalized fractional integral operators involving I-function as a kernel. In addition, two theorems have been developed under these operators that provide an image formula for this generalized M-series and also to study the different properties of the generalized M-series. …”
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Lipschitz Spaces and Fractional Integral Operators Associated with Nonhomogeneous Metric Measure Spaces by Jiang Zhou, Dinghuai Wang

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Weak Type Inequalities for Some Integral Operators on Generalized Nonhomogeneous Morrey Spaces by Hendra Gunawan, Denny Ivanal Hakim, Yoshihiro Sawano, Idha Sihwaningrum

“…We prove weak type inequalities for some integral operators, especially generalized fractional integral operators, on generalized Morrey spaces of nonhomogeneous type. …”
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Some Inequalities of Generalized p-Convex Functions concerning Raina’s Fractional Integral Operators by Changyue Chen, Muhammad Shoaib Sallem, Muhammad Sajid Zahoor

“…We develop Hermite–Hadamard-type inequalities for this class of convex function via Raina’s fractional integral operator.…”
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On Refinement of Bounds of Fractional Integral Operators Containing Extended Generalized Mittag-Leffler Functions by Ayşe Kübra Demirel

“…In this paper, it is aimed to improvement the boundaries of fractional integral operators containing extended generalized Mittag-Leffler functions. …”
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Boundedness for a Class of Singular Integral Operators on Both Classical and Product Hardy Spaces by Chaoqiang Tan

“…We found that the classical Calderón-Zygmund singular integral operators are bounded on both the classical Hardy spaces and the product Hardy spaces. …”
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Inequalities for a Unified Integral Operator for Strongly α,m-Convex Function and Related Results in Fractional Calculus by Chahn Yong Jung, Ghulam Farid, Kahkashan Mahreen, Soo Hak Shim

“…In this paper, we study integral inequalities which will provide refinements of bounds of unified integral operators established for convex and α,m-convex functions. …”
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Necessary and Sufficient Conditions for Boundedness of Commutators of the General Fractional Integral Operators on Weighted Morrey Spaces by Zengyan Si, Fayou Zhao

“…We prove that b is in Lipβ(ω) if and only if the commutator [b,L-α/2] of the multiplication operator by b and the general fractional integral operator L-α/2 is bounded from the weighted Morrey space Lp,k(ω) to Lq,kq/p(ω1-(1-α/n)q,ω), where 0<β<1, 0<α+β<n,1<p<n/(α+β), 1/q=1/p-(α+β)/n, 0≤k<p/q, ωq/p∈A1, and rω>(1-k)/(p/(q-k)), and here rω denotes the critical index of ω for the reverse Hölder condition.…”
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Computation of Differential, Integral Operators and Quantitative Structure–Property Analysis of Boron α-Icosahedral Nanosheet by Khalil Hadi Hakami, Abdul Rauf Khan, Saad Amin Bhatti

“…In this paper, the idea of reverse degree–based RdM-polynomial is initiated, and differential and integral operators are computed. We formulate reverse degree–based topological descriptors based on this concept. …”
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New Variant of Hermite–Jensen–Mercer Inequalities via Riemann–Liouville Fractional Integral Operators by Qiong Kang, Saad Ihsan Butt, Waqas Nazeer, Mehroz Nadeem, Jamshed Nasir, Hong Yang

“…In this paper, certain Hermite–Hadamard–Mercer-type inequalities are proved via Riemann–-Liouville fractional integral operators. We established several new variants of Hermite–Hadamard’s inequalities for Riemann–Liouville fractional integral operators by utilizing Jensen–Mercer inequality for differentiable mapping ϒ whose derivatives in the absolute values are convex. …”
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An application of Miller and Mocanu's result by Shigeyoshi Owa, Zhworen Wu

Subjects: “…integral operator…”
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