Parameterized Simpson-like inequalities for differentiable Bounded and Lipschitzian functions with application example from management science

نویسندگان

چکیده

Abstract In this paper, based on a given parameterized identity that generates quadrature rule family similar to Simpson’s second formula, we establish some new Simpson-like type inequalities for functions with bounded as well Lipchitzian derivatives from which can deduce the famous 3 / 8-Simpson’s inequality. The study concludes an application example management science.

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ژورنال

عنوان ژورنال: Journal of Applied Mathematics, Statistics and Informatics

سال: 2023

ISSN: ['1339-0015', '1336-9180']

DOI: https://doi.org/10.2478/jamsi-2023-0005