TY - JOUR
ID - 246902
TI - Weighted Cebysev Type Inequalities for Double Integrals and Application
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
AU - Khan, Asif R.
AU - Nasir, Hira
AU - Shirazi, Syed Sikander
AD - Department of Mathematics, University of Karachi, University Road, Karachi-75270 Pakistan.
AD - Department of Mathematics, Federal Urdu University of Arts, Science and Technology , University Road, Karachi-75270 Pakistan.
AD - Department of Basic Sciences, Muhammad Ali Jinnah University, P.E.C.H.S. Main Shahrah-e-Faisal, Karachi-75400, Pakistan.
Y1 - 2021
PY - 2021
VL - 18
IS - 4
SP - 59
EP - 72
KW - Cebysev inequality
KW - Weighted Cebyvsev inequality
KW - Montgomery identity
KW - probability density function
DO - 10.22130/scma.2021.129537.815
N2 - The purpose of this article is to generalize Cebysev type inequalities for double integrals involving a weight function.By using an integral transform that is a weighted Montgomery identity, we obtained a generalized form of weighted Cebysev type inequalities in $L_m,, mgeq 1$ norm of differentiable functions. Also, we give some applications of the probability density function.
UR - https://scma.maragheh.ac.ir/article_246902.html
L1 - https://scma.maragheh.ac.ir/article_246902_0fc782c86d31c4c95914e495db3bd79b.pdf
ER -