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On Refinement of Bounds of Fractional Integral Operators Containing Extended Generalized Mittag-Leffler Functions
Published 2024-07-01“…In this paper, it is aimed to improvement the boundaries of fractional integral operators containing extended generalized Mittag-Leffler functions. …”
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Hermite–Hadamard–Mercer type inequalities for fractional integrals: A study with h-convexity and ψ-Hilfer operators
Published 2025-02-01Subjects: Get full text
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Generalization of Companion of Ostrowski's Type Inequality Via Riemann-Liouville Fractional Integral and Applications in Numerical Integration, Probability Theory and Special Means
Published 2024-07-01Subjects: “…riemann-liouville fractional integral operator…”
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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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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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Euler Operational Matrix of Integration and Collocation Method for Solving Functional Integral Equations
Published 2025-01-01“…One significant advantage of this method lies in its ability to avoid the need for direct integration to discretize the integral operator. Error estimates are provided and two illustrative examples are included to demonstrate the method’s effectiveness and practical applicability.…”
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Problems solving in the integral calculus and the determination of the area under the curve
Published 2024-12-01“…This article presents a useful problem for Mathematics Education, derived from a generalized integral operator, for this we define what we understand by an integrable function in this generalized sense, and the geometric interpretation of a generalized definite integral is presented. …”
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The Hölder and Minkowski Inequalities Utilizing a Fractional Operator Involvement of Pseudo-Operator
Published 2024-07-01“…A generalized integral operator of order $\alpha$ of a real function $f$ including a parameter set $P$, namely $K_P^\alpha f(t)$ has been introduced by O. …”
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Integral representation of vertical operators on the Bergman space over the upper half-plane
Published 2023-11-01“…In this article, we prove that every vertical operator on the Bergman space $\mathcal{A}^2(\Pi )$ over the upper half-plane can be uniquely represented as an integral operator of the form \begin{equation*} \left(S_\varphi f\right)(z) = \int _{\Pi } f(w) \varphi (z-\overline{w}) d\mu (w),~~\forall f\in \mathcal{A}^2(\Pi ),~z\in \Pi , \end{equation*} where $\varphi $ is an analytic function on $\Pi $ given by \begin{equation*} \varphi (z) = \int _{\mathbb{R}_+}\xi \sigma (\xi ) e^{iz\xi } d\xi , \ \forall z\in \Pi \end{equation*} for some $\sigma \in L^\infty (\mathbb{R}_+)$. …”
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On approximation of two-dimensional potential and singular operators
Published 2019-12-01“…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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Range Hood and Make-up Air Supply System to Prevent Dispersion of Cooking-generated Particulate Matter
Published 2020-11-01“…The integrated operation of the HRV and range hood was more effective in discharging dispersed PM after cooking. …”
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The Design and Construction of a Self Amplified Loud Speaker.
Published 2023“…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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On the symbol of singular operators in the case of contour with corner points
Published 2025-01-01“… This paper proposes a method for constructing a symbol for singular integral operators in the case of a piecewise Lyapunov contour. …”
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Boundary integral equation methods for Lipschitz domains in linear elasticity
Published 2024-05-01“…The later can be constructed from the well-know elliptic boundary integral operators associated to the Laplace equation and Gårding’s inequalities are satisfied. …”
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