Steve Simpson was born and grew up in Australia. After completing his undergraduate degree at the University of Queensland, he travelled to London where he undertook his PhD on locust feeding physiology. Steve then spent 22 years in Oxford, fi rst in Experimental Psychology and then in the Department of Zoology and the Natural History Museum, before being enticed back to Australia in 2005. Toge...

This is the fifth and last in our series of notes concerning some classical inequalities such as the Ostrowski, Simpson, Iyengar, and Ostrowski–Grüss inequalities in R. In the last note, we propose an improvement of the Ostrowski–Grüss inequality which involves 3n knots where n = 1 is an arbitrary numbers. More precisely, suppose that fxkgk1⁄41 1⁄20;1 ; fykg n k1⁄41 1⁄20;1 , and fakg n k1⁄41 1⁄...

Recently, developments and extensions of quadrature inequalities in quantum calculus have been extensively studied. As a result, several Simpson’s Newton’s estimates are examined order to explore different directions studies. The main motivation this article is the development variants Simpson–Newton-like by employing Mercer’s convexity context calculus. results also give new bounds for through...