About some mean-value theorems for B-differentiable functions

Authors

  • Ovidiu T. Pop West University “Vasile Goldis” of Arad, Romania
  • Mircea Farcaş National College “Mihai Eminescu”, Satu Mare, Romania

Keywords:

mean-value theorems for \(B\)-differentiable functions
Abstract views: 183

Abstract

In this paper we shall demonstrate a general mean-value theorem for \(B\) -differentiable functions. By particularization, we obtain Pompeiu-type and Ivan-type theorems for \(B\)-differentiable functions.

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References

Boggio, T., Sur une proposition de M. Pompeiu, Mathematica, 23, pp. 101-102, 1947-1948.

Bögel, K., Mehrdimensionale Differentiation von Funktionen mehrer Veränderlicher, J. Reine Angew. Math., 170, pp. 197-217, 1934.

Bögel, K., Uber mehrdimensionale Differentiation, Integration und beschränkte Variation, J. Reine Angew. Math., 173, pp. 5-29, 1935, https://doi.org/10.1515/crll.1935.173.5

Ivan, M., Asupra unei teoreme de medie, Atheneum Cluj, pp. 23-25, 1970 (in Romanian).

Ivan, M., A note on a Pompeiu-type theorem, Math. Analysis and Approx. Theory, The 5^{th} Romanian-German Seminar on Approx. Theory and its Applications, RoGer 2002, Sibiu, pp. 129-134.

Nicolescu, M., Analiză matematică, II, Editura Didactică şi Pedagogică, Bucureşti, 1980 (in Romanian).

Pompeiu, D., Sur une proposition analogue au théorème des accroisements finis, Mathematica, 22, 143-146, 1946.

Pop, M. S., Asupra unei extinderi ale teoremei de medie a lui Cauchy, Gazeta matematică, Ser. A, XCIII, 12, pp. 107-112, 1996 (in Romanian).

Pop, O. T., About some mean-theorems, Creative Math., 14, pp. 49-52, 2005.

Rotaru, P., Asupra unor teoreme de medie, Gazeta matematică, Ser. B, LXXXVIII, 1, pp. 316-318, 1983 (in Romanian).

Stamate, I., Asupra unei proprietăţi a lui Pompeiu, Lucrări ştiinţifice, Institutul Politehnic Cluj, 1, pp. 12-15, 1956 (in Romanian).

Topan, Gh., O extindere a teoremei de medie a lui Cauchy, Gazeta matematică, Ser. B, LXXXVII, 2-3, pp. 54-55, 1982 (in Romanian).

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Published

2006-02-01

How to Cite

Pop, O. T., & Farcaş, M. (2006). About some mean-value theorems for B-differentiable functions. Rev. Anal. Numér. Théor. Approx., 35(1), 105–110. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/2006-vol35-no1-art14

Issue

Vol. 35 No. 1 (2006)

Section

Articles

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