Integral transforms of generalized functions

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August undefined, 2024

NettetIn this paper, firstly we have established a new generalization of Hermite–Hadamard inequality via p-convex function and fractional integral operators which generalize the Riemann–Liouville fractional integral operators introduced by Raina, Lun and Agarwal. Secondly, we proved a new identity involving this generalized fractional integral … NettetFrom the change of variable formula on the Wiener space, we calculate various integral transforms for functionals on the Wiener space. However, not all functionals can be …

On Some Generalized Fractional Integral Inequalities for p-Convex Functions

Nettettheorems · q-Appell functions · q-Lauricella functions · q-Laplace transforms · q-integrals 2010 AMS Subject Classiﬁcation: 33D05 · 33D15 · 33D60 · 33C65 ... of generalized special functions are investigated by [5, 19, 29]. The three q-Kummer contiguous summation theorems were given by Kummer in NettetFrom the change of variable formula on the Wiener space, we calculate various integral transforms for functionals on the Wiener space. However, not all functionals can be obtained by using this formula. In the process of calculating the integral transform introduced by Lee, this formula is also used, but it is also not possible to calculate for all … holland public holidays 2023

Applications of General Summation Formulas Contiguous to q

NettetInterests: differential equations; transmutation theory; integral transforms; special functions; inequalities; numerical methods; approximation theory. ... The general fractional integrals and derivatives considered so far in the Fractional Calculus literature have been defined for the functions on the real positive semi-axis. NettetThe objective of this research is to obtain some fractional integral formulas concerning products of the generalized Mittag–Leffler function and two H-functions. The resulting integral formulas are described in terms of the H-function of several variables. Moreover, we give some illustrative examples for the efficiency of the general approach of our … Nettet24. mar. 2024 · Brychkov, Yu. A. and Prudnikov, A. P. Integral Transforms of Generalized Functions. New York: Gordon and Breach, 1989. Carslaw, H. S. and Jaeger, J. C. … humanism as a philosophy of education

Foundations Free Full-Text Generalized Fractional Integrals ...

Integral transform mathematics Britannica

Although the properties of integral transforms vary widely, they have some properties in common. For example, every integral transform is a linear operator, since the integral is a linear operator, and in fact if the kernel is allowed to be a generalized function then all linear operators are integral transforms (a properly formulated version of this statement is the Schwartz kernel theorem). The general theory of such integral equations is known as Fredholm theory. In this theory, the ker… NettetDescription: This book presents new results in the theory of the double Mellin-Barnes integrals popularly known as the general H-function of two variables.A general integral convolution is constructed by the authors and it contains Laplace convolution as a particular case and possesses a factorization property for one-dimensional H-transform. humanism as the next stepNettetHence, use of generalized functions allows us to express in a mathematically correct form idealized physical concepts such as the density of a material point, the point … holland public schools calendar 2023

"NettetIn this paper we consider the problem of recovering the (transformed) relaxation spectrum h from the (transformed) loss modulus g by inverting the integral equation , where denotes convolution, using Fourier transforms. We are particularly interested in establishing properties of h, having assumed that the Fourier transform of g has entire extension to … " - Integral transforms of generalized functions

On Some Generalized Fractional Integral Inequalities for p-Convex Functions

Applications of General Summation Formulas Contiguous to q

Integral transforms of generalized functions

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