Abstract
In this paper, the inequality of Riemann-Stieltjes integral is defined for functions of Hilbert space. The concept of time scales is introduced to unify both discrete and continuous problems. Also, the definition and properties of Riemann-Stieltjes integral are used in the application of self-adjoint and unitary operators in Hilbert spaces. Thees results are obtained on time scales.
Key words: Hilbert spaces, Inequality, Riemann integral, Stieltjes integral, Time scales.
Full Text
Article Information
| Title | Inequality of Riemann-Stieltjes-$ \Delta $-Integral for Hilbert Spaces on Time Scales |
| Source | Methods Funct. Anal. Topology, Vol. 31 (2025), no. 3, 161-171 |
| DOI | 10.31392/MFAT-npu26_3.2025.02 |
| Milestones | Received 30/11/2024; Revised 10/12/2025 |
| Copyright | The Author(s) 2025 (CC BY-SA) |
Authors Information
Bosede Alfred O.
Department of Mathematics, Lagos State University, Ojo, Lagos, Nigeria
Afariogun David A.
Department of Mathematical Sciences, Ajayi Crowther University, Oyo, Oyo State, Nigeria
Ayeni Elizebeth O.
Department of Mathematics, Lagos State University, Ojo, Lagos, Nigeria
Citation Example
Bosede Alfred O., Afariogun David A., and Ayeni Elizebeth O., Inequality of Riemann-Stieltjes-$ \Delta $-Integral for Hilbert Spaces on Time Scales, Methods Funct. Anal. Topology 31
(2025), no. 3, 161-171.
BibTex
@article {MFAT2122,
AUTHOR = {Bosede Alfred O. and Afariogun David A. and Ayeni Elizebeth O.},
TITLE = {Inequality of Riemann-Stieltjes-$ \Delta $-Integral for Hilbert Spaces on Time Scales},
JOURNAL = {Methods Funct. Anal. Topology},
FJOURNAL = {Methods of Functional Analysis and Topology},
VOLUME = {31},
YEAR = {2025},
NUMBER = {3},
PAGES = {161-171},
ISSN = {1029-3531},
DOI = {10.31392/MFAT-npu26_3.2025.02},
URL = {https://mfat.imath.kiev.ua/article/?id=2122},
}
