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 New weighted Ostrowski-Gr\"uss-{\v C}eby{\v s}ev type inequalities Bull. Korean Math. Soc. 2008 Vol. 45, No. 3, 477-483 Printed September 1, 2008 Wen-jun Liu, Yu Huang, and Xing-xia Pan Nanjing University of Information Science and Technology, Nanjing University of Information Science and Technology, Nanchang Institute of Aeronautical Technology Abstract : In this paper, by introducing parameter $r>1$, new weighted Ostrowski-Gr\"uss-{\v C}eby{\v s}ev type inequalities for $1/p+1/q=1-1/r$ are established. Keywords : weighted Ostrowski-Gr\"uss-{\v C}eby{\v s}ev type inequalities, H\"older inequality, properties of modulus MSC numbers : Primary 26D15; Secondary 26D20 Downloads: Full-text PDF