On a New Half-Discrete Hilbert-Type Inequality Involving the Variable Upper Limit Integral and Partial Sums

Jianquan Liao, Shanhe Wu and Bicheng Yang
Additional contact information
Jianquan Liao: Department of Mathematics, Guangdong University of Education, Guangzhou 510303, Guangdong, China
Shanhe Wu: Department of Mathematics, Longyan University, Longyan 364012, Fujian, China
Bicheng Yang: Department of Mathematics, Guangdong University of Education, Guangzhou 510303, Guangdong, China

Mathematics, 2020, vol. 8, issue 2, 1-12

Abstract: In this paper we establish a new half-discrete Hilbert-type inequality involving the variable upper limit integral and partial sums. As applications, an inequality obtained from the special case of the half-discrete Hilbert-type inequality is further investigated; moreover, the equivalent conditions of the best possible constant factor related to several parameters are proved.

Keywords: weight coefficient; Euler–Maclaurin summation formula; half-discrete Hilbert-type inequality; partial sum; variable upper limit integral (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/8/2/229/pdf (application/pdf)
https://www.mdpi.com/2227-7390/8/2/229/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:8:y:2020:i:2:p:229-:d:318889

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().