A Sawyer duality principle for radially monotone functions in .
Displaying 381 – 400 of 4583
A selection theorem of Helly type and its applications
Ehrhard Behrends, Kazimierz Nikodem (1995)
Studia Mathematica
We prove an abstract selection theorem for set-valued mappings with compact convex values in a normed space. Some special cases of this result as well as its applications to separation theory and Hyers-Ulam stability of affine functions are also given.
A separation theorem for -convex functions.
Matkowski, Janusz, Zgraja, Tomasz (1998)
Mathematica Pannonica
A sequence of mappings associated with the Hermite-Hadamard inequalities and applications
Sever Silvestru Dragomir (2004)
Applications of Mathematics
New properties for some sequences of functions defined by multiple integrals associated with the Hermite-Hadamard integral inequality for convex functions and some applications are given.
A sequence of mappings connected with Jensen's inequality and applications
S. S. Dragomir, D. M. Milošević (1992)
Matematički Vesnik
A sequence of sharp trigonometric inequalities
J. B. M. Melissen, M. El Ghami (2015)
Colloquium Mathematicae
A sharp bound for a sine polynomial
Horst Alzer, Stamatis Koumandos (2003)
Colloquium Mathematicae
We prove that for all integers n ≥ 1 and real numbers x. The upper bound Si(π) is best possible. This result refines inequalities due to Fejér (1910) and Lenz (1951).
A sharp bound of the Čebyšev functional for the Riemann-Stieltjes integral and applications.
Dragomir, S.S. (2008)
Journal of Inequalities and Applications [electronic only]
A sharp companion of Ostrowski’s inequality for the Riemann–Stieltjes integral and applications
Mohammad W. Alomari (2016)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
A sharp companion of Ostrowski’s inequality for the Riemann-Stieltjes integral [...] ∫abf(t) du(t) , where f is assumed to be of r-H-Hölder type on [a, b] and u is of bounded variation on [a, b], is proved. Applications to the approximation problem of the Riemann-Stieltjes integral in terms of Riemann-Stieltjes sums are also pointed out.
A sharp double inequality for sums of powers.
Lampret, Vito (2011)
Journal of Inequalities and Applications [electronic only]
A sharp inequality of Ostrowski-Grüss type.
Liu, Zheng (2006)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
A sharp rearrangement inequality for the fractional maximal operator
A. Cianchi, R. Kerman, B. Opic, L. Pick (2000)
Studia Mathematica
We prove a sharp pointwise estimate of the nonincreasing rearrangement of the fractional maximal function of ⨍, , by an expression involving the nonincreasing rearrangement of ⨍. This estimate is used to obtain necessary and sufficient conditions for the boundedness of between classical Lorentz spaces.
A sharp weighted Wirtinger inequality
Tonia Ricciardi (2005)
Bollettino dell'Unione Matematica Italiana
We obtain a sharp estimate for the best constant in the Wirtinger type inequality where is bounded above and below away from zero, is -periodic and such that , and . Our result generalizes an inequality of Piccinini and Spagnolo.
A sharpening of discrete analogues of Wirtinger's inequality
Jarmila Novotná (1983)
Časopis pro pěstování matematiky
A short proof of Ky Fan's inequality
Horst Alzer (1991)
Archivum Mathematicum
A Sierpiński-Zygmund function which has a perfect road at each point
Udayan Darji (1993)
Colloquium Mathematicae
A simple proof of monotonicity for Stolarsky and Gini means
Slavko Simić (2009)
Kragujevac Journal of Mathematics
A simple proof of the Chui-Smith theorem on Landau's problem
Masae Sato, Ryotaro Sato (1982)
Colloquium Mathematicae
A simple proof of the Fundamental Theorem of Algebra
Rudolf Výborný (2010)
Mathematica Bohemica
In the paper an elementary and simple proof of the Fundamental Theorem of Algebra is given.
A simple proof of the geometric-arithmetic mean inequality.
Uchida, Yasuharu (2008)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]