Some Grüss' Type Inequalities in 2-Inner Product Spaces and Applications for Determinantal Integral Inequalities [PDF]
, 2003 Some new Grüss type inequalities in 2-inner product spaces are given.
Jung, J. S +4 more
core +3 more sources
Generalized integral transforms and asymptotics [PDF]
, 2022 Generalized integral transforms, as one of the powerful tools in mathematical physics, has been elaborated in the last fifty years. Their asymptotic analysis through the asymptotic behavior of distributions is also an important research subject, that ...
Veta Buralieva, Jasmina
core +1 more source
Asymptotic results for some generalized integral transforms
, 2021 The extension of integral transforms to generalized function spaces and their asymptotic analysis is an important рesearch subject, that took attention on different authors. So, first we give a brief summary about some generalized asymptotics and make a
Veta Buralieva, Jasmina
core +1 more source
Approximation of the Stieltjes Integral and Applications in Numerical Integration [PDF]
, 2003 Some inequalities for the Stieltjes integral and applications in numerical integration are given. The Stieltjes integral is approximated by the product of the divided difference of the integrator and the Lebesgue integral of the integrand.
Cerone, Pietro, Dragomir, Sever S
core +3 more sources
Solving dual integral equations on Lebesgue spaces [PDF]
, 2000 We study dual integral equations associated with Hankel transforms, that is, dual integral equations of Titchmarsh's type. We reformulate these equations giving a better description in terms of continuous operators on Lp spaces, and we solve them in ...
Juan Varona +14 more
core +2 more sources
Some Grüss Type Inequalities for Vector-Valued Functions in Banach Spaces and Applications [PDF]
, 2005 Some Grüss type inequalities for the Bochner integral of vectorvalued functions in real or complex Banach spaces are given. Applications in connection to the Heisenberg inequality for functions with values in Hilbert spaces are also pointed ...
Cerone, Pietro +3 more
core +3 more sources
Application of integral transforms composition method (itcm) to obtaining transmutations via integral transforms with bessel functions in kernels [PDF]
, 2021 In this paper we apply the Integral Transforms Composition Method (ITCM) in order to derive compositions of integral transforms with Bessel functions in kernels, and obtain norm estimates and other properties of such composition ...
Shishkina, E. I. +2 more
core +1 more source
Some Multi–dimensional Modified G- and H-Integral Transforms on Lν¯,r¯ -Spaces [PDF]
, 2023 This paper is devoted to the study of three classes of multidimensional integral transformations with Fox’ H-function and the Meijer’s G-function in kernels in weighted spaces integrable functions in the domain Rn+=R1+×R1+×⋯×R1+.
Papkopvich, M. +2 more
core +1 more source
Null spaces of Radon transforms [PDF]
, 2016 We obtain new descriptions of the null spaces of several projectively equivalent transforms in integral geometry. The paper deals with the hyperplane Radon transform, the totally geodesic transforms on the sphere and the hyperbolic space, the spherical ...
Boris Rubin +3 more
core +1 more source
Design and analysis strategies for robust microbiome ageing research
FEBS Letters, EarlyView.The gut microbiome changes with age and associates with age‐related morbidity and mortality, establishing it as a potential biomarker and intervention target for ageing. Realising this potential requires methodological rigour, yet distinguishing biological signals from methodological artefacts remains challenging across cohorts. This review provides an
Mark Olenik +5 more
wiley +1 more source