4,851 research outputs found
Regularity of some method of summation for double sequences
Some generalization of Toeplitz method of summation is introduced for double sequences and condition of regularity of it is obtained.<br /
The Lr-Variational Integral
We define the Lr-variational integral and we prove that it is equivalent to the HKr-integral defined in 2004 by P. Musial and Y.
Sagher in the Studia Mathematica paper The Lr-Henstock–Kurzweil integral. We prove also the continuity of Lr-variation function
The arithmetic decomposition of central Cantor sets
Every central Cantor set of positive Lebesgue measure is the arithmetic sum of two central Cantor sets of Lebesgue measure zero. Under some mild condition this result can be strengthened by stating that the summands can be chosen to be Csregular if the initial set is of this class
MR2896126 Selmanogullari, T.; Savas, E.; Rhoades, B. E. On -Hausdorff matrices. Taiwanese J. Math. 15 (2011), no. 6, 2429--2437
MR3085505 Reviewed Boonpogkrong, Varayu Stokes' theorem on manifolds: a Kurzweil-Henstock approach. Taiwanese J. Math. 17 (2013), no. 4, 1183–1196
Denjoy and P-path integrals on compact groups in an inversion formula for multiplicative transforms
Denjoy and -path Kurzweil-Henstock type integrals are defined on compact subsets of some locally compact zero-dimensional abelian groups. Those integrals are applied to obtain an inversion formula for the multiplicative integral transform
Inversion formulae for the integral transform on a locally compact zero-dimensional group
Generalized inversion formulae for multiplicative integral transform with a kernel defined by characters of a locally compact zero-dimensional abelian group are obtained using a Kurzweil-Henstock type integral
MR2849946 Subramanian, N.; Krishnamoorthy, S.; Balasubramanian, S. A new double sequence space defined by a modulus function. Selçuk J. Appl. Math. 12 (2011), no. 1, 109--121.
MR2968982 Boonpogkrong, Varayu; Chew, Tuan Seng; Lee, Peng Yee On the divergence theorem on manifolds. J. Math. Anal. Appl. 397 (2013), no. 1, 182–190.
MR2876776 Orhan, C.; Tas, E.; Yurdakadim, T. The Buck-Pollard property for -Cesàro matrices. Numer. Funct. Anal. Optim. 33 (2012), no. 2, 190--196.
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