Generalizations of Ostrowski type inequalities via Hermite polynomials

DOI10.1186/s13660-020-02441-6zbMath1503.26027OpenAlexW3037156823MaRDI QIDQ2069501

Mihaela Ribičić Penava, Ljiljanka Kvesić, Josip E. Pečarić

Publication date: 20 January 2022

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-020-02441-6

zbMATH Keywords

Hermite polynomialsGrüss inequalityOstrowski type inequalityMontgomery identity

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Convexity of real functions in one variable, generalizations (26A51) Inequalities for trigonometric functions and polynomials (26D05)

Related Items (1)

Generalized perturbed Ostrowski-type inequalities

Cites Work

• Grüss and Ostrowski type inequalities
• Bounds for the Chebyshev functional and applications to the weighted integral formulae
• Convex functions, partial orderings, and statistical applications
• Bounds for the Chebyshev functional and corrected four-point quadrature formulae of Euler type
• New estimations of the remainder in three-point quadrature formulae of Euler type
• Companion inequalities to Ostrowski--Gr\"uss type inequality and applications
• Some new Ostrowski-type bounds for the Čebyšev functional and applications
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