On Weighted Hadamard-Type Singular Integrals and Their Applications by Yong Jia Xu

“…By means of an expression with a kind of integral operators, some properties of the weighted Hadamard-type singular integrals are revealed. …”
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On K-transform by C. Nasim

“…Using a combination of infinite order linear differential operators and integral operators, the inversion of K-transform is established. …”
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The Boundedness on Mixed Hardy Spaces by Wei Ding, Meidi Qin, Yueping Zhu

“…In this paper, we obtain the boundedness of singular integral operators in mixed Journé class on mixed Hardy spaces by a direct method.…”
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Two-Weight Extrapolation on Lorentz Spaces by Wenming Li, Tingting Zhang, Limei Xue

“…We give several two-weight extrapolation theorems on Lorentz spaces which extend the results of Cruz-Uribe and Pérez (2000) and some applications for the singular integral operators, the potential type operators, and commutators.…”
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New proof of Nagnibida's theorem by Mubariz T. Karaev

“…Using the Duhamel product for holomorphic functions we give a new proof of Nagnibida’s theorem on unicellularity of integration operator Jα,(Jαf)(z)=∫αzf(t)dt, acting in the space Hoℓ(Ω).…”
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New approaches for subordination and superordination of multivalent functions associated with a family of linear operators by Seon Hye An, Rekha Srivastava, Nak Eun Cho

“…Moreover, we apply the results and techniques presented here to a class of integral operators.…”
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Surgery and the relative index in elliptic theory by V. E. Nazaikinskii, B. Yu. Sternin

“…This is a survey article featuring the general index locality principle introduced by the authors, which can be used to obtain index formulas for elliptic operators and Fourier integral operators in various situations, including operators on stratified manifolds and manifolds with singularities.…”
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Weak Type Estimates of Variable Kernel Fractional Integral and Their Commutators on Variable Exponent Morrey Spaces by Xukui Shao, Shuangping Tao

“…In this paper, the authors obtain the boundedness of the fractional integral operators with variable kernels on the variable exponent weak Morrey spaces based on the results of Lebesgue space with variable exponent as the infimum of exponent function p(·) equals 1. …”
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New Developments on Ostrowski Type Inequalities via q-Fractional Integrals Involving s-Convex Functions by Xiaoming Wang, Khuram Ali Khan, Allah Ditta, Ammara Nosheen, Khalid Mahmood Awan, Rostin Matendo Mabela

“…In the present paper, q-fractional integral operators are used to construct quantum analogue of Ostrowski type inequalities for the class of s-convex functions. …”
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A Generalized q-Grüss Inequality Involving the Riemann-Liouville Fractional q-Integrals by Aydin Secer, S. D. Purohit, K. A. Selvakumaran, Mustafa Bayram

“…The aim of this paper is to establish q-extension of the Grüss type integral inequality related to the integrable functions whose bounds are four integrable functions, involving Riemann-Liouville fractional q-integral operators. The results given earlier by Zhu et al. (2012) and Tariboon et al. (2014) follow the special cases of our findings.…”
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Petrović-type inequality via fractional calculus by Péter Kórus, Juan Eduardo Nápoles Valdés, José Manuel Rodríguez, José Maríá Sigarreta Almira

“…In this work we prove a new Petrović-type inequality for measurable functions defined on a space with finite measure, and we apply it to generalized Riemann–Liouville-type integral operators.…”
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Range Hood and Make-up Air Supply System to Prevent Dispersion of Cooking-generated Particulate Matter by Hyungkeun Kim, Kyungmo Kang, Taeyeon Kim

“…The integrated operation of the HRV and range hood was more effective in discharging dispersed PM after cooking. …”
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Bootstrapping Weighted Inequalities for Hankel Transform by M. Dziri

“…A method of producing new inequalities for Hankel transform from known ones is given using the theory of positive integral operators. The new inequalities produced depend on six parameters, two real indices, two complex-valued measures, and two positive functions. …”
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On approximation of two-dimensional potential and singular operators by Charyyar Ashyralyyev, Sedanur Efe

“…The purpose of this paper is the construction of second-order of accuracy quadrature formulas for the numerical calculation of the Vekua types two-dimensional potential and singular integral operators in the unit disk of complex plane. We propose quadrature formulas for these integrals which based on first-order spline approximation of two-dimensional function. …”
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Weighted Herz Spaces and Regularity Results by Yuxing Guo, Yinsheng Jiang

“…In order to obtain this, the authors first establish the weighted boundedness for the commutators of some singular integral operators on 𝐾𝑞𝑝(𝜑,𝑤).…”
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𝑝-Carleson Measures for a Class of Hardy-Orlicz Spaces by Benoît Florent Sehba

“…As an application, we provide with a characterization of symbols of bounded weighted composition operators and Cesàro-type integral operators from these Hardy-Orlicz spaces to some classical holomorphic function spaces.…”
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Endpoint Estimates for Oscillatory Singular Integrals with Hölder Class Kernels by Hussain Al-Qassem, Leslie Cheng, Yibiao Pan

“…We prove the uniform L1→L1,∞ and HE1→L1 boundedness of oscillatory singular integral operators whose kernels are the products of an oscillatory factor with bilinear phase and a Calderón-Zygmund kernel K(x,y) satisfying a Hölder condition. …”
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Fractional Versions of Hermite-Hadamard, Fejér, and Schur Type Inequalities for Strongly Nonconvex Functions by Wenbo Xu, Muhammad Imran, Faisal Yasin, Nazia Jahangir, Qunli Xia

“…Moreover, we establish some fractional integral inequalities for strongly nonconvex functions in generalized sense in the setting of Riemann-Liouville integral operators.…”
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On Some Vector-Valued Inequalities of Gronwall Type by Dah-Chin Luor

“…We also show that the classical Gronwall-Bellman-Bihari integral inequality can be generalized from composition operators to a variety of operators, which include integral operators, maximal operators, geometric mean operators, and geometric maximal operators.…”
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A Study on Generalized Multivariable Mittag-Leffler Function via Generalized Fractional Calculus Operators by D. L. Suthar, Mitku Andualem, Belete Debalkie

“…Also we establish two theorems, which give the images of this function under the generalized fractional integral operators involving Fox’s H-function as kernel. …”
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