Results 101 to 110 of about 1,287,523 (215)

On linearity of pan-integral and pan-integrable functions space [PDF]

open access: yesarXiv, 2016
$L\sp{p}$ space is a crucial aspect of classical measure theory. For nonadditive measure, it is known that $L\sp{p}$ space theory holds for the Choquet integral whenever the monotone measure $\mu$ is submodular and continuous from below. The main purpose of this paper is to generalize $L\sp{p}$ space theory to $+,\cdot$-based pan-integral.
arxiv  

Quasi Grüss Type Inequalities for Complex Functions Defined on Unit Circle with Applications for Unitary Operators in Hilbert Spaces

open access: yesExtracta Mathematicae, 2016
Some quasi Grüss type inequalities for the Riemann-Stieltjes integral of continuous complex valued integrands defined on the complex unit circle C(0, 1) and various subclasses of integrators are given.
S.S. Dragomir
doaj  

Integration in terms of exponential integrals and incomplete gamma functions I [PDF]

open access: yesarXiv, 2018
This paper provides a Liouville principle for integration in terms of exponential integrals and incomplete gamma functions.
arxiv  

Existence and nonexistence of positive solutions for the fractional coupled system involving generalized p-Laplacian

open access: yesAdvances in Difference Equations, 2017
In this article, we study a class of fractional coupled systems with Riemann-Stieltjes integral boundary conditions and generalized p-Laplacian which involves two different parameters. Based on the Guo-Krasnosel’skii fixed point theorem, some new results
Ying Wang, Jiqiang Jiang
doaj   +1 more source

Two-Point Quadrature Rules for Riemann–Stieltjes Integrals with Lp–error estimates

open access: yesMoroccan Journal of Pure and Applied Analysis, 2018
In this work, we construct a new general two-point quadrature rules for the Riemann–Stieltjes integral ∫abf(t) du (t)$\int_a^b {f(t)} \,du\,(t)$, where the integrand f is assumed to be satisfied with the Hölder condition on [a, b] and the integrator u is
Alomari M.W.
doaj   +1 more source

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