Absolute matrix summability of the allied series of a Fourier series

In this paper we have proved a theorem for infinite triangular matrix using new techniques.     

Influence of SO 4 2− doping and Y-irradiation on the thermal decomposition of barium bromate

The effects of SO ₄ ^2– doping and Y-irradiation on the isothermal (563 K) decomposition of barium bromate have been investigated gasometrically with a vacuum apparatus. Plots of the fraction decomposed avs. timet for pure, doped and irradiated crystals exhibited characteristic stages: initial gas evolution (initial puff), an induction period, linear reaction, an acceleratory period and decay. The data are considered in the light of various kinetic models, e.g. linear rate equation, Prout-Tompkins and Avrami-Erofeev. The plausible mechanism of the reaction and the effects on this of anion vacancies and Y-irradiation are discussed briefly.

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Zusammenfassung Die Wirkung von Versetzen mit SO ₄ ^2} - und -Bestrahlung auf die isotherme (563 K) Zersetzung von Bariumbromat wurde gasometrisch untersucht. Es zeigte sich, daß die Zeitcharakteristiken für die reinen, die versetzten und bestrahlten Kristalle verschiedene Stufen durchlaufen, nämlich anfängliche Gasentwicklung (Aufblähen), Induktionsperiode, lineare Reaktion, Beschleunigung und Abklingen. Die Daten wurden unter dem Gesichtspunkt verschiedener kinetischer Modelle betrachtet, z. B. lineare Geschwindigkeitsgleichung, das Modell von Prout-Tompkins und Avrami-Erofeev. Es werden kurz ein einleuchtender Reaktionsmechanismus und der Einfluß von Anionengitterlücken und -Bestrahlung darauf diskutiert.

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- (563 ) . , ,-, «t» , , , , , . , - -. .

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The authors thank the Department of Atomic Energy, Government of India, for financial support. M.K.S. also gratefully acknowledges the award of a Research Fellowship by the same agency, which made the work possible.     

Triplet yield determination and heavy-atom effect from ground-state repopulation kinetics

Time-resolved ground-state spectroscopy is able to follow triplet kinetics by probing the time course of ground-state recovery by bleacing and probing with light of identical wavelength. From the maximum of transient absorption and its long-lived plateau due to triplet population the triplet yield can be determined without using triplet—triplet absorption. A repetitive picosecond spectrometer is used to measure triplet yields of a xanthene dye with different heavy-atom substituents.     

Matrix summability of a factored Fourier series

This paper reports a result for proving a triangular matrix summability of a factored Fourier series by extending the theorem on Nörlund summability of a factored Fourier series att =x when ?(t)∈B.V in (0, π) due to Singh [4] (Indian J. Math. 9 227–236). The result generalizes the theorem of Varshney [5] (Proc. Am. Math. Soc. 10, 784–789) and that of Singh.