# Some quadratic integral inequalities of first order

BronisŁaw Florkiewicz; MaŁgorzata Kuchta

Colloquium Mathematicae (1998)

- Volume: 75, Issue: 1, page 7-18
- ISSN: 0010-1354

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topFlorkiewicz, BronisŁaw, and Kuchta, MaŁgorzata. "Some quadratic integral inequalities of first order." Colloquium Mathematicae 75.1 (1998): 7-18. <http://eudml.org/doc/210531>.

@article{Florkiewicz1998,

author = {Florkiewicz, BronisŁaw, Kuchta, MaŁgorzata},

journal = {Colloquium Mathematicae},

keywords = {absolutely continuous function; integral inequality; quadratic integral inequalities; Sturm-Liouville type; Opial type},

language = {eng},

number = {1},

pages = {7-18},

title = {Some quadratic integral inequalities of first order},

url = {http://eudml.org/doc/210531},

volume = {75},

year = {1998},

}

TY - JOUR

AU - Florkiewicz, BronisŁaw

AU - Kuchta, MaŁgorzata

TI - Some quadratic integral inequalities of first order

JO - Colloquium Mathematicae

PY - 1998

VL - 75

IS - 1

SP - 7

EP - 18

LA - eng

KW - absolutely continuous function; integral inequality; quadratic integral inequalities; Sturm-Liouville type; Opial type

UR - http://eudml.org/doc/210531

ER -

## References

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- [11] G. H. Hardy, J. E. Littlewood and G. Pólya, Inequalities, Cambridge Univ. Press, 1991.
- [12] A. Krzywicki and A. Rybarski, On some integral inequalities involving Chebyshev weight function, Colloq. Math. 18 (1967), 147-150. Zbl0153.38602
- [13] M. Kuchta, Some quadratic integral inequalities of Opial type, Ann. Polon. Math. 63 (1996), 103 -113. Zbl0842.26015
- [14] M. Morse and W. Leighton, Singular quadratic functionals, Trans. Amer. Math. Soc. 40 (1936), 252-286. Zbl0015.02701
- [15] D. S. Mitrinović, J. E. Pečarić and A. M. Fink, Inequalities Involving Functions and Their Integrals and Derivatives, Kluwer, Dordrecht 1991. Zbl0744.26011
- [16] R. Redheffer, Inequalities with three functions, J. Math. Anal. Appl. 16 (1966), 219-242. Zbl0144.30702
- [17] W. T. Reid, Sturmian Theory of Ordinary Differential Equations, Springer, New York, 1980. Zbl0459.34001
- [18] G. S. Yang, On a certain result of Z. Opial, Proc. Japan Acad. 42 (1966), 78-83. Zbl0151.05202

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