Zobrazeno 1 - 10 of 39 pro vyhledávání: '"P. H. Diananda"'
2
Some cyclic and other inequalities. IV
Autor: P. H. Diananda
Publikováno v: Mathematical Proceedings of the Cambridge Philosophical Society. 76:183-186
For t > 0, letwhere xn+r = xr ≥ 0 and xr+1 + xr+2 > 0 for each r.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::27a4348fc64e383aede77598bd001783
https://doi.org/10.1017/s0305004100048842
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3
On the Schnirelmann density of the 𝑘-free integers
Autor: M. V. Subbarao, P. H. Diananda
Publikováno v: Proceedings of the American Mathematical Society. 62:7-10
Let Q k ( n ) {Q_k}(n) be the number of k-free integers ⩽ n \leqslant n and d ( Q k ) d({Q_k}) the Schnirelmann density of the k-free integers. If k ⩾ 5 k \geqslant 5 , it is shown that Q k ( n ) / n = d ( Q k ) {Q_k}(n)/n = d({Q_k}) for some n s
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::b3686434d0acf2ab9d55373e4d43677f
https://doi.org/10.1090/s0002-9939-1977-0435024-9
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6
A Cyclic Inequality and an Extension of it. II
Autor: P. H. Diananda
Publikováno v: Proceedings of the Edinburgh Mathematical Society. 13:143-152
Throughout this paper, unless otherwise stated,nandLstand for positive integers and α,t,x,x1,x2, … for positive real numbers. Letwhereand
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::33907356347c98f0d11325b7c324d852
https://doi.org/10.1017/s0013091500014711
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7
On non-negative forms in real variables some or all of which are non-negative
Autor: P. H. Diananda
Publikováno v: Mathematical Proceedings of the Cambridge Philosophical Society. 58:17-25
In a recent paper (3) Mordell proposed for solutionPROBLEM 1. To find the constants a1, …, an so thatwhere xn+i = xi ≥ 0 for all i.
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https://doi.org/10.1017/s0305004100036185
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10
Some probability limit theorems with statistical applications
Autor: P. H. Diananda, M. S. Bartlett
Publikováno v: Mathematical Proceedings of the Cambridge Philosophical Society. 49:239-246
In fundamental papers Bernstein (3) and Loève(8) have proved central limit theorems for wide classes of dependent variables. Their theorems are stated in terms of conditional distributions. In the case of dn-dependent variables (see § 3) they assum
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https://doi.org/10.1017/s0305004100028334
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