Generalizations of Ostrowski type inequalities via Hermite polynomials

We present new generalizations of the weighted Montgomery identity constructed by using the Hermite interpolating polynomial. The obtained identities are used to establish new generalizations of weighted Ostrowski type inequalities for differentiable functions of class Cn. Also, we consider new bounds for the remainder of the obtained identities by using the Chebyshev functional and certain Grüss type inequalities for this functional. By applying those results we derive inequalities for the class of n-convex functions. © 2020, The Author(s).

Authors
Kvesić L.1 , Pečarić J. 2 , Ribičić Penava M.3
Publisher
Springer International Publishing
Number of issue
1
Language
English
Status
Published
Number
176
Volume
2020
Year
2020
Organizations
  • 1 Faculty of Science and Education, University of Mostar, Matice hrvatske bb, Mostar, 88000, Bosnia and Herzegovina
  • 2 RUDN University, Miklukho-Maklaya str. 6, Moscow, 117198, Russian Federation
  • 3 Department of Mathematics, University of Osijek, Trg Ljudevita Gaja 6, Osijek, 31000, Croatia
Keywords
Grüss inequality; Hermite polynomials; Montgomery identity; Ostrowski type inequality
Date of creation
02.11.2020
Date of change
02.11.2020
Short link
https://repository.rudn.ru/en/records/article/record/65394/
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