Generalizations of the Lagrange mean value theorem and applications | Zendy

Miodrag Mateljević | Zendy; Marek Svetlik | Zendy; Miloljub Albijanić | Zendy; Nebojša Savić | Zendy

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Generalizations of the Lagrange mean value theorem and applications

Author(s) -

Miodrag Mateljević,

Marek Svetlik,

Miloljub Albijanić,

Nebojša Savić

Publication year - 2013

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1304515m

Subject(s) - mathematics , convexity , generalization , monotonic function , mean value theorem (divided differences) , value (mathematics) , lagrange multiplier , mathematical economics , fixed point theorem , pure mathematics , calculus (dental) , mathematical analysis , mathematical optimization , picard–lindelöf theorem , statistics , financial economics , medicine , dentistry , economics

In this paper we give a generalization of the Lagrange mean value theorem via lower and upper derivative,aswellasappropriatecriteriaofmonotonicityandconvexityforarbitraryfunction f : (a,b) → R. Some applications to the neoclassical economic growth model are given (from mathematical point of view).

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