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Semiconvex functions and its differences
Kryštof, Václav ; Zajíček, Luděk (advisor) ; Johanis, Michal (referee)
The main result of this thesis is that we prove certain versions of Ilmanen's lemmma. That means - given semiconvex (or locally semiconvex) function f1 and semiconcave (or locally semiconcave) function f2 such that f1 ≤ f2 we find a function f such that f1 ≤ f ≤ f2 and f is both semiconvex and semiconcave (or locally uniformly differentiable). We also give characterization (via a new variation) of those functions which are the difference of two ω-nondecreasing functions 1
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Semiconvex functions and its differences
Kryštof, Václav ; Zajíček, Luděk (advisor) ; Johanis, Michal (referee)
The main result of this thesis is that we prove certain versions of Ilmanen's lemmma. That means - given semiconvex (or locally semiconvex) function f1 and semiconcave (or locally semiconcave) function f2 such that f1 ≤ f2 we find a function f such that f1 ≤ f ≤ f2 and f is both semiconvex and semiconcave (or locally uniformly differentiable). We also give characterization (via a new variation) of those functions which are the difference of two ω-nondecreasing functions 1
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Semiconvex functions and their differences
Kryštof, Václav ; Zajíček, Luděk (advisor) ; Zelený, Miroslav (referee)
Semiconvex functions generalize convex functions on a normed linear space. In this thesis we deal with semiconvex functions of one real varia- ble, so with a special case. In the first part we especially study properties of semiconvex functions from one-side derivative point of view and give charac- terization of locally semiconvex functions on an open interval by right-hand derivative. The second part of the thesis concerns functions which are a dif- ference of two semiconvex functions. Also in this case we give (by right-hand derivative) characterization of functions which are a difference of two locally semiconvex functions on an open interval. This is related to a generalized va- riation which we introduce and which enables to characterize those functions which are a difference of two semiconvex functions on an open interval with modulus Mω, where M ∈ (0, ∞). 1
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Marketing mix of Fitness Fanatic and proposal for improvement
Kryštof, Václav ; Voráček, Josef (advisor) ; Šíma, Jan (referee)
This bachelor thesis is aimed to description of current marketing mix, analysis of this mix and based on findings to propose changes leading to improvement of marketing mix. The theoretical part is aimed to define marketing concepts and its application in sport. In the methodology part are described individual used methods. In the final section are interpreted the findings of research and SWOT analysis and proposed changes of current marketing mix of Fitness Fanatic.
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Marketing mix of Fitness Fanatic and proposal for improvement
Kryštof, Václav ; Voráček, Josef (advisor) ; Šíma, Jan (referee)
This bachelor thesis is aimed to description of current marketing mix, analysis of this mix and based on findings to propose changes leading to improvement of marketing mix. The theoretical part is aimed to define marketing concepts and its application in sport. In the methodology part are described individual used methods. In the final section are interpreted the findings of research and SWOT analysis and proposed changes of current marketing mix of Fitness Fanatic.
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