in this paper, we prove the hyers-ulam stability in$beta$-homogeneous probabilistic modular spaces via fixed point method for the functional equation[f(x+ky)+f(x-ky)=f(x+y)+f(x-y)+frac{2(k+1)}{k}f(ky)-2(k+1)f(y)]for fixed integers $k$ with $kneq 0,pm1.$

Time and size resolved data of trace elements were obtained from measurements with a rotating drum impactor (RDI) and subsequent X-ray fluorescence spectrometry. Trace elements can act as indicators for the identification of sources of particulate matter <10 μm (PM10) in ambient air. Receptor modeling was performed with positive matrix factorization (PMF) for trace element data from an urban ba...

Since the 1980's, measures mitigating the impact of transboundary air pollution have been implemented successfully as evidenced in the 1980-2014 record of atmospheric sulphur pollution over the NE-Atlantic, a key region for monitoring background northern-hemisphere pollution levels. The record reveals a 72-79% reduction in annual-average airborne sulphur pollution (SO4 and SO2, respectively) ov...

Although laboratory studies show that biogenic volatile organic compounds (VOCs) yield substantial secondary organic aerosol (SOA), production of biogenic SOA as indicated by upward fluxes has not been conclusively observed over forests. Further, while aerosols are known to deposit to surfaces, few techniques exist to provide chemically-resolved particle deposition fluxes. To better constrain a...

El tratamiento inadecuado de los desechos urbanos en botaderos representa un riesgo ambiental para suelos agrícolas donde sus propiedades edafológicas pueden modificarse. objetivo del estudio fue evaluar la materia orgánica (MO) y el pH suelo agrícola ante botadero Quitasol ciudad Abancay, Apurímac, Perú. Se seleccionó mediante muestreo probabilístico aleatorio, tres puntos (PM1, PM2, PM3) se d...

Abstract The importance of air quality monitoring has been strongly demonstrated in numerous scientific studies. This study, carried out an intense circular intersection, brings additional arguments that the fine particles like PM1 and PM2.5 influence more than 80% concentration PM10 must be measured at several points. Few were cases [approx. 20%] which increase concentrations is given by with ...

From January to March 2015, an atmospheric aerosol measurement campaign, “Aerosoles en Ciudad Universitaria 2015” (ACU15), was carried out in Mexico City determine the particles’ optical properties and chemical composition. Two photoacoustic spectrometers measured scattering absorption coefficient at two different wavelengths. The average 532 nm 12.71 ± 9.48 Mm−1 870 10.35 7.36 Mm−1. 65.63 47.1...

in  this paper, we investigate the generalizedhyers-ulam-rassias stability for the quartic, cubic and additivefunctional equation$$f(x+ky)+f(x-ky)=k^2f(x+y)+k^2f(x-y)+(k^2-1)[k^2f(y)+k^2f(-y)-2f(x)]$$ ($k in mathbb{z}-{0,pm1}$) in $p-$banach spaces.