TY - JOUR
T1 - Innovative Ostrowski’s type inequalities based on linear kernel and applications
AU - Muawwaz, Muhammad
AU - Maaz, Muhammad
AU - Qayyum, Ather
AU - Ahmad, Mukhtar
AU - Faiz, Muhammad Danial
AU - Mehboob, Asma
PY - 2025/4/1
Y1 - 2025/4/1
N2 - Ostrowski’s type inequalities have been studied extensively in the last few decades by various mathematicians, because they play a vital role in the developments of mathematical inequalities. In this paper, we develop new inequalities through the utilization of a new identity under the conditions ý′ ∈ L1, ý′ ∈ L2, and ý′′ ∈ L2 for 0 < h ≤ 1. Furthermore, we provide applications for cumulative distribution functions. Some mathematical models are also presented at the end.
AB - Ostrowski’s type inequalities have been studied extensively in the last few decades by various mathematicians, because they play a vital role in the developments of mathematical inequalities. In this paper, we develop new inequalities through the utilization of a new identity under the conditions ý′ ∈ L1, ý′ ∈ L2, and ý′′ ∈ L2 for 0 < h ≤ 1. Furthermore, we provide applications for cumulative distribution functions. Some mathematical models are also presented at the end.
KW - cumulative distributive functions
KW - linear kernel
KW - numerical integration
KW - Ostrowski inequalities
UR - https://www.scopus.com/pages/publications/105002644070
M3 - Article
AN - SCOPUS:105002644070
SN - 2219-5688
VL - 14
SP - 802
EP - 812
JO - Palestine Journal of Mathematics
JF - Palestine Journal of Mathematics
IS - 1
ER -