On Simpson's inequality and applications.

276 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

An inequality of Simpson type (2005, background): “Rec Acc One of the best-known results in numerical integration is Simpson’s inequality (Dragomir et al. 2000): ðb a f ðxÞ dxK bKa 6 f ðaÞC4f aCb 2 C f ðbÞ % 1 2880 kf kNðbKaÞ(5); (1) where the mapping f : 1⁄2a; b /R is assumed to be four times continuously differentiable on the interval (a, b) and f”
Simpson and Newton type inequalities for convex functions via newly defined quantum integrals (2020, methodology): “Then, using the expression (1) for the first quantum integral in (7), we find that”
Some Hermite-Hadamard Type Inequalities for DifferentiableConvex Functions and Applications (2013, result): “In [3], an inequality similar to the above ones was given as follows.”
Properties and integral inequalities of Hadamard- Simpson type for the generalized (s,m) -preinvex functions (2016, background): “12 and its consequences generalize the main results in [5].”
SIMPSON TYPE INTEGRAL INEQUALITIES FOR CONVEX FUNCTIONS VIA RIEMANN-LIOUVILLE INTEGRALS (2017, background): “To consult some of them, one can take glance to the papers [5]-[10].”
New Inequalities of Simpson's Type for s-Convex Functions with Applications (2009, unknown): “Dragomir in [8] pointed out some recent developments on Simpson’s inequality for which the remainder is expressed in terms of lower derivatives than the fourth.”