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Functions starlike with respect to other points
Published 1991-01-01Subjects: Get full text
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Global Research Priorities for Holistic Integration of Water and Power Systems
Published 2024-01-01Subjects: “…Integrated operations…”
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84
Dual integral equations involving Weber-Orr transforms
Published 1991-01-01Subjects: Get full text
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85
Novel fractional integral inequalities for GA-Cr-convex functions and connections with information systems
Published 2025-02-01Subjects: “…Interval-valued Hadamard fractional integral operators…”
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On Saigo Fractional $q$-Calculus of a General Class of $q$-Polynomials
Published 2024-03-01Subjects: “…saigo fractional $q$-integral operators…”
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Integral Inequalities Using Generalized Convexity Property Pertaining to Fractional Integrals and Their Applications
Published 2024-07-01Subjects: “…katugampola fractional integral operators…”
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Saigo Fractional q-Differentiation Operator Involving Generalized q-Mittag–Leffler Function
Published 2025-01-01“…Corresponding assertions in terms of Weyl q-integral operator, Kober q-integral operator, and Riemann–Liouville q-integral operator are presented. …”
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Sandwich-Type Results and Existence Results of Analytic Functions Associated with the Fractional <i>q</i>-Calculus Operator
Published 2024-12-01“…Using this <i>q</i>-integral operator, we obtain sandwich-type results. Furthermore, we employ the existence of univalent solutions to a <i>q</i>-differential equation connected with a fractional <i>q</i>-integral operator of fractional order. …”
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Study on spectral representation and eigenexpansion based on eigen-operators
Published 2020-05-01“…The spectral representation and expansion based on eigen-operators were deeply studied.The relations between Green’s function of characteristic differential equation and Hermitian differential and integral operators were given.The inverse relations between Hermitian differential operator and Hermitian integral operator were also studied.The spectral representation of Hermitian differential operators was given.It was also shown that the S-L eigen-equation cannot be used to realize the spectral representations of infinite dimensions in a finite interval.The method is much simpler and clearer than that of Neumann,and has advantages.The eigen-expansion (eigen-decomposition) of the Hermitian integral operator was given,which has the advantages of theoretical generality and comprehensiveness.The incorrect discussion in Wang et al<sup>[2]</sup>was correct that it is used to study the representation of characteristic spectrum.The physical and geometric meanings of naming for the long spherical wave function in optimal eigen-expansion were given.…”
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Some new applications of the fractional integral and four-parameter Mittag-Leffler function.
Published 2025-01-01“…The purpose of this study is to propose and explore a new integral operator of order λ using fractional calculus and the four-parameter MLF. …”
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Image Denoising of Adaptive Fractional Operator Based on Atangana–Baleanu Derivatives
Published 2021-01-01“…A fractional integral operator can preserve an image edge and texture details as a denoising filter. …”
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Weighted norm inequalities for a class of rough singular integrals
Published 2005-01-01“…Weighted norm inequalities are proved for a rough homogeneous singular integral operator and its corresponding maximal truncated singular operator. …”
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Φ-Admissible Sublinear Singular Operators and Generalized Orlicz-Morrey Spaces
Published 2014-01-01“…These conditions are satisfied by most of the operators in harmonic analysis, such as the Hardy-Littlewood maximal operator and Calderón-Zygmund singular integral operator.…”
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(r,p)-absolutely summing operators on the space C (T,X) and applications
Published 2001-01-01“…Also we prove that the injective tensor product of an integral operator and an (r,p)-absolutely summing operator is an (r,p)-absolutely summing operator.…”
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Two-weight norm inequalities for the rough fractional integrals
Published 2001-01-01“…The authors give the weighted (Lp,Lq)-boundedness of the rough fractional integral operator TΩ,α and the fractional maximal operator MΩ,α with two different weight functions.…”
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Starlike and Convex Properties for Hypergeometric Functions
Published 2008-01-01“…We also consider an integral operator related to the hypergeometric function.…”
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On Certain Subclass of Harmonic Starlike Functions
Published 2014-01-01“…Further, a class preserving integral operator and connections with various previously known results are briefly discussed.…”
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Multiresolution Expansion and Approximation Order of Generalized Tempered Distributions
Published 2013-01-01“…In addition, we show that the kernel of an integral operator provides approximation order in in the context of shift-invariant spaces.…”
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