Results 191 to 200 of about 7,667 (234)

General Riemann-Stieltjes integrals

2014
In this thesis, we discussed general Riemann-Stieltjes integrability. First, we reviewed the results of L.C.Young (1936), which concerned sufficient conditions on the existence of general Riemann-Stieltjes integrals. Second, this result is generalized.
openaire   +2 more sources

On many-valued Riemann-Stieltjes integration

Mathematical Proceedings of the Cambridge Philosophical Society, 1931
The considerations set forth in the present paper are valid for the most part in parallel form for integration in space of any number of dimensions, and in the widest measure for any modification of the process that may be devised naturally: integration of functions not necessarily one-valued, with respect to functions of sets, or functions of ∑, not ...
openaire   +2 more sources

CONVERGENCE THEOREMS FOR GENERALIZED RIEMANN-STIELTJES INTEGRALS

Real Analysis Exchange, 1991
Some controlled convergence theorems for the integral defined by \textit{W. F. Pfeffer} [Adv. Math. 87, No. 1, 93-147 (1991; Zbl 0732.26013)] and for the Henstock-Stieltjes integral are proved.
Bongiorno, B., Di Piazza, L.
openaire   +2 more sources

The adjoint Riemann-Stieltjes integral

Russian Mathematics, 2007
The author gives the family of solutions of a differential equation in a generalized form. First the algebra of discontinuous functions defined on a real segment is introduced and main topological properties are mentioned. The algebras of discontinuous functions are commutative Banach algebras with the unit element and the adjoint multiplication and ...
openaire   +2 more sources

Riemann-Stieltjes integral

2018
Ravi P. Agarwal, Peter Cristina, O’Regan Donal   +2 more
openaire   +2 more sources

Riemann-Stieltjes Integral and Measure

1993
This chapter gives an example of a measure which arises from a functional, defined essentially by generalizations of Riemann sums. We get here into special aspects of the real line, as distinguished from the general theory of integration on general spaces.
openaire   +1 more source

An overview of real‐world data sources for oncology and considerations for research

Ca-A Cancer Journal for Clinicians, 2022
Lynne Penberthy, Donna R Rivera, Jennifer L Lund, Msph   +2 more
exaly  

The mechanisms of integral membrane protein biogenesis

Nature Reviews Molecular Cell Biology, 2021
Ramanujan Shankar Hegde, Robert J Keenan
exaly  

Solving integral equations in free space with inverse-designed ultrathin optical metagratings

Nature Nanotechnology, 2023
Andrea Cordaro, Andrea Alu
exaly  

An update on larynx cancer

Ca-A Cancer Journal for Clinicians, 2017
Kristin A Higgins, Nabil F Saba
exaly