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Ultima descărcare din IBN: 2018-06-27 16:29 |
Căutarea după subiecte similare conform CZU |
517.958 (8) |
Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis (242) |
SM ISO690:2012 GONSKA, Heiner, RAŞA, Ioan, RUSU, Maria-Daniela. Chebyshev-Gruss-type inequalities via discrete oscillations. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2014, nr. 1(74), pp. 63-89. ISSN 1024-7696. |
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | ||||||
Numărul 1(74) / 2014 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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CZU: 517.958 | ||||||
Pag. 63-89 | ||||||
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Rezumat | ||||||
The classical form of Gruss’ inequality, first published by G.Gruss in 1935, gives an estimate of the difference between the integral of the product and the product of the integrals of two functions. In the subsequent years, many variants of this inequality appeared in the literature. The aim of this paper is to introduce a new approach, presenting a new Chebyshev-Gruss-type inequality and applying to different well-known linear, not necessarily positive, operators. Some conjectures are presented. We also compare the new inequalities with some older results. In some cases this new approach gives better estimates than the ones already known. |
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Cuvinte-cheie Chebyshev-Gruss-type inequalities, least concave majorant of the modulus of continuity |
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