TY - JOUR
T1 - Improvement of Some Hayashi–Ostrowski Type Inequalities with Applications in a Probability Setting
AU - Alomari, Mohammad W.
AU - Chesneau, Christophe
AU - Leiva, Víctor
AU - Martin-Barreiro, Carlos
N1 - Funding Information:
Funding: This research was supported partially funded by FONDECYT grant number 1200525 (V.L.) from the National Agency for Research and Development (ANID) of the Chilean government under the Ministry of Science, Technology, Knowledge, and Innovation.
Publisher Copyright:
© 2022 by the authors. Licensee MDPI, Basel, Switzerland.
PY - 2022/7/1
Y1 - 2022/7/1
N2 - Different types of mathematical inequalities have been largely analyzed and employed. In this paper, we introduce improvements to some Ostrowski type inequalities and present their corresponding proofs. The presented proofs are based on applying the celebrated Hayashi inequality to certain functions. We provide examples that show these improvements. Illustrations of the obtained results are stated in a probability framework.
AB - Different types of mathematical inequalities have been largely analyzed and employed. In this paper, we introduce improvements to some Ostrowski type inequalities and present their corresponding proofs. The presented proofs are based on applying the celebrated Hayashi inequality to certain functions. We provide examples that show these improvements. Illustrations of the obtained results are stated in a probability framework.
KW - Gauss and Simpson quadratures
KW - Hayashi inequality
KW - Ostrowski inequality
UR - http://www.scopus.com/inward/record.url?scp=85133640524&partnerID=8YFLogxK
U2 - 10.3390/math10132316
DO - 10.3390/math10132316
M3 - Article
AN - SCOPUS:85133640524
SN - 2227-7390
VL - 10
JO - Mathematics
JF - Mathematics
IS - 13
M1 - 2316
ER -