Mathematical Inequalities and Applications.
Element D.O.O..
Vol. 22.
2019.
P. 1193-1213
POPOVICIU TYPE INEQUALITIES FOR HIGHER ORDER CONVEX FUNCTIONS VIA LIDSTONE INTERPOLATION
We use Lidstone's interpolating polynomials to obtain Popoviciu-type inequalities containing sums Sigma(m)(i=1) p(i)f(x(i)) , where f is an n-convex function with even n. We also give integral analogues of the results, some related inequalities for n-convex functions at a point and bounds for integral remainders of identities associated with the obtained inequalities.
Authors
Pecaric J.
1,
2
,
Praljak M.3
Publisher
Element D.O.O.
Number of issue
4
Language
English
Pages
1243-1256
Status
Published
Volume
22
Year
2019
Organizations
- 1 Univ Zagreb, Fac Text Technol, Prilaz Baruna Filipovica 28, Zagreb 10000, Croatia
- 2 RUDN Univ, Miklukho Maklaya Str 6, Moscow 117198, Russia
- 3 Univ Zagreb, Fac Food Technol & Biotechnol, Pierottijeva 6, Zagreb 10000, Croatia
Keywords
n-convex functions; Lidstone interpolation; Cebysev functional
Date of creation
24.12.2019
Date of change
24.12.2019
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Mathematical Inequalities and Applications.
Element D.O.O..
Vol. 22.
2019.
P. 1257-1270