Zobrazeno 1 - 10
of 14
pro vyhledávání: '"G. E. Cross"'
Autor:
Michael G. Prior, Daniel F. Stockli, Stewart A. Williams, John S. Singleton, S. P. Mavor, G. E. Cross
Publikováno v:
International Geology Review. 63:233-263
The central Sierra Madre Oriental in Mexico developed primarily in the Late Cretaceous to early Palaeogene as a thin-skinned fold belt above a decollement hosted in Jurassic evaporite. In some regi...
Publikováno v:
Medicina. 58(5 Pt 1)
The purpose of this paper was to assess the accuracy of computed tomography (CT) and magnetic resonance (MR) in the preoperative identification of corticotropin-secreting pituitary adenomas and to evaluate the concordance with the postoperative outco
Autor:
G. E. Cross
Publikováno v:
Canadian Mathematical Bulletin. 29:334-340
It is well known that the Riemann-complete integral (or equivalently the Perron integral) integrates an everywhere finite ordinary first derivative (which may be thought of as a Peano derivative of order one). It is also known that the Cesàro-Perron
Autor:
G. E. Cross
Publikováno v:
Proceedings of the American Mathematical Society. 82:587-592
It is shown that if F F is a function defined and continuous on [ a , b ] [a,b] such that (where n n is an even integer): (a) \[ F ( r ) ( x ) = lim h → 0 ( r ! h r ) ( F ( x + h ) − F ( x ) − ∑ k = 1 r − 1 h k F ( k ) ( x ) k ! ) {F_{(r)}}
Autor:
G. E. Cross
Publikováno v:
Canadian Journal of Mathematics. 34:506-512
The problem of additivity of the Pn-integral on abutting intervals was considered in [2] and in [5]. It was noted in [2] that the necessary and sufficient conditions for additivity for the P2-integral obtained by Skvorcov in [5] could be completely g
Autor:
G. E. Cross
Publikováno v:
Proceedings of the American Mathematical Society. 69:297-302
Recently P. S. Bullen and C. M. Lee defined a scale of symmetric Cesàro-Perron integrals, but left open the question of whether their S C k + 1 P S{C_{k + 1}}P -integral solves the coefficient problem for (C, k) summable series. This paper gives an
Autor:
Pl. Kannappan, G. E. Cross
Publikováno v:
Aequationes Mathematicae. 34:147-152
Autor:
G. E. Cross
Publikováno v:
Canadian Mathematical Bulletin. 21:149-158
Several non-absolutely convergent integrals have been defined which generalize the Perron integral. The most significant of these integrals from the point of view of application to trigonometric series are the Pn- and pn-integrals of R. D. James [10]
Autor:
G. E. Cross
Publikováno v:
Canadian Mathematical Bulletin. 25:385-391
It has been recently observed by S. N. Mukhopadhyay that the various definitions of the Pn-integral are not complete unless it is shown that the exceptional scattered set allowed in the definition is not important. Utilizing the fact that on the real
Autor:
G. E. Cross
Publikováno v:
Canadian Journal of Mathematics. 23:557-561
In 1955 Taylor [6] constructed an AP-integral sufficiently strong to integrate Abel summable series with coefficients o(n). He showed that the AP-integral includes the special Denjoy integral and further that, when applied to trigonometric series, th