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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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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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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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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Perturbations of Regularized Determinants of Operators in a Banach Space by Michael Gil

“…Applications to the -summing operators, Hille-Tamarkin integral operators, Hille-Tamarkin matrices, Schatten-von Neumann operators, and Lorentz operator ideals are discussed.…”
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New extensions version of Hermite–Hadamard type inequalities by means of conformable fractional integrals by Umut Bas, Hüseyin Budak, Hasan Kara

“…In the current investigation, we acquire the upper and lower bounds for inequalities of midpoint-type and trapezoid-type involving conformable fractional integral operators with the help of the mappings whose second derivatives are bounded. …”
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Herz-Type Hardy Spaces Associated with Operators by Yan Chai, Yaoyao Han, Kai Zhao

“…As applications, the boundedness of some singular integral operators on Herz-type Hardy spaces associated with operators is obtained.…”
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The Higher Order Riesz Transform and BMO Type Space Associated with Schrödinger Operators on Stratified Lie Groups by Yu Liu, Jianfeng Dong

“…In this paper, we prove the boundedness of some integral operators related to L, such as L-1∇2, L-1W, and L-1(-Δ) on the space BMOL(G).…”
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An Approach of Integral Equations in Complex-Valued b-Metric Space Using Commuting Self-Maps by Rashad A. R. Bantan, Saif Ur Rehman, Shahid Mehmood, Waleed Almutiry, Amani Abdullah Alahmadi, Mohammed Elgarhy

“…This application illustrates how complex-valued b-metric space can be used in other types of integral operators.…”
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On the Spectral Asymptotics of Operators on Manifolds with Ends by Sandro Coriasco, Lidia Maniccia

“…The structure of this class of noncompact manifolds allows to make use of calculi of pseudodifferential operators and Fourier integral operators associated with weighted symbols globally defined on ℝn. …”
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The Design and Construction of a Self Amplified Loud Speaker. by Tumuhamye Ronald

“…For the pre-amplifier unit, Tl071CP integrated operational amplifier is used to achieve the gain of 4; for the tonality control unit, a filter is designed to achieve different tone; for the power amplifier unit, LM386N-1 integrated low voltage power amplifier is applied. …”
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An Odd Rearrangement of L1(Rn) by Zheng Wang, Jiecheng Chen

“…Moreover, we study the boundedness of singular integral operators when they are restricted to odd rearrangement of L1(Rn), and we give some results on Hilbert transform.…”
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