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

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Boutelhig N., Meftah B., Saleh W., Lakhdari A.

JOURNAL OF APPLIED MATHEMATICS STATISTICS AND INFORMATICS, sa.1, ss.79-91, 2023 (ESCI)

• Yayın Türü: Makale / Tam Makale
• Basım Tarihi: 2023
• Doi Numarası: 10.2478/jamsi-2023-0005
• Dergi Adı: JOURNAL OF APPLIED MATHEMATICS STATISTICS AND INFORMATICS
• Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
• Sayfa Sayıları: ss.79-91
• Kocaeli Üniversitesi Adresli: Hayır

Özet

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