Approximation of Signals by Harmonic-Euler Triple Product Means

Our paper deals with the approximation of signals by <em>H₁.E^θ.E^θ</em> product means of Fourier and its conjugate series. New theorems based on <em>H₁.E^θ.E^θ</em> product summability have been established and proved under general conditions. The established theorems extend, generalize and improve various existing results on summability of Fourier series and its conjugate series.

Synergistic Activity of Nitroimidazole-Oxazolidinone Conjugates against Anaerobic Bacteria

The introductions of the bicyclic 4-nitroimidazole and the oxazolidinone classes of antimicrobial agents represented the most significant advancements in the infectious disease area during the past two decades. Pretomanid, a bicyclic 4-nitroimidazole, and linezolid, an oxazolidinone, are also part of a combination regimen approved recently by the US Food and Drug Administration for the treatment of pulmonary, extensively drug resistant (XDR), treatment-intolerant or nonresponsive multidrug-resistant (MDR) Mycobacterium tuberculosis (TB). To identify new antimicrobial agents with reduced propensity for the development of resistance, a series of dual-acting nitroimidazole-oxazolidinone conjugates were designed, synthesized and evaluated for their antimicrobial activity. Compounds in this conjugate series have shown synergistic activity against a panel of anaerobic bacteria, including those responsible for serious bacterial infections.

A Study on Degree of Approximation by Product Means of the Fourier Series in a W (Lr, ξ(t))( r ≥ 1) Class

The purpose of present paper is to approach a new result on degree of approximation of Fourier series of a function f ∈ W (Lr, ξ(t)) class by C2Tn product summability. So many work have been done for approximation of Fourier series and its conjugate series but this work is yet not seen for (C2Tn) product summability.

Geochemical features of soils in an undulating glaciolacustrine sandy plain in the middle taiga subzone of Karelia

The geochemically conjugate series of soils (Albic Podzol – Albic Podzol Gleyc – Hystosol) formed on an undulating glaciolacustrine plain in the middle taiga of Karelia was investigated. Surveys for redox conditions showed them to vary from oxidizing in automorphic soils to reducing in soils occupying accumulation-favoring locations. The geochemical coefficients descriptive of the features of accumulation and directions of migration in the studied soils were calculated and analyzed. The distribution of silicic acid and a majority of sesquioxides inside the profile of the studied soils is typical of podzols. The podzolic horizons of the soils occupying interstitial positions have a faster outmigration of elements than in automorphic soils, while their Al-Fe-humic horizons accumulate aluminum, iron, titanium and phosphorus. All the soils are deficient in a majority of microelements as compared to their background levels; very low concentrations were determined for nickel, cobalt and manganese. The content of copper and sometimes zinc is at the background level. The distribution of the studied elements across the soil profile follows the accumulation-eluviation-illuviation pattern, but the scope of variation in the migration of elements varies among topographic positions. In well-drained locations microelements are quite monotonously distributed through the lower part of the soil profile, while soils in transitional landscapes have a higher differentiation of microelements. The differentiation of the catena through lateral migration is of the transient eluviation type, i.e. soils in lower-lying positions are poorer in the studied elements than soils in automorphic positions. This pattern is due to the natural characteristics of the area: low surface slope, homogeneous sandy parent material, low humus content in soil.

Salty Soils of the Charamodon Lowland (Barguzin Depression, Buryatia)

In “humid” latitudes within the lacustrine-alluvial part of the Barguzin depression, azonal saline soils are widespread. Genesis of these soils is affected by a combination of endogenous (current seismic activity and tectonic disturbance at the intersection of Nizhneargadinskiy and Khaskhal-Argadinskiy faults, discharges of low mineralized waters) and exogenous factors (aridity in the spring-early-summer period, permafrost, cryogenic metamorphism). The study was performed at the area of Kharamodon lowland near saline lakes. The conjugate series of soils located on the bottom of a dried-up lake and in the contact zone of the transition from the lake-alluvial plain to the terrace of the Upper Kuitun terrain were investigated. The soils developed in the zone of tectonic faults with deep waters wedging are characterized by extremely high dynamics of soil forming conditions such as the contrasting combination of physical and chemical properties of soil horizons, heterogeneous texture, soda and sulfate-soda type of salinity, and geochemical peculiarities of the element associations. The salt crusts, humus-underdeveloped or light-humus diagnostic horizons with signs of aeolian stratification and gleying are the features of the morphological structure of these soils. Within the saline soil profiles, dark, almost black layers and turbations are noted, which are typical for soils of active tectonic faults zones with thermal low mineralized waters unloading. The concentrations, salts distribution, degree and type of chemistry in the soils under the study are sharply changed over a short distance. In the soils of accumulative positions, solonchaks with very high soda salinity entire the profile are formed. There is no vegetation due to the strong salt toxicity. In the layered-aeolian humus saline permafrost soil located in the contact zone of the transition from the lake-alluvial plain to the terrace, surface salinity with less toxic sulfate anion prevails (salt crust). Downhill soda-sulfate and sulfate-soda types occurred, sodium predominates among the cations. Halophilic and halotolerant plant species form the low projective cover (30%). The maximum content of easily soluble and toxic salts is concentrated in the salt crusts of the quasi-clay cryoturbated solonchak and in the layered-aeolian soil. Light-humus saline aeolian-stratified permafrost soils developed at the highest hypsometric levels are of weak degree of mixed type salinity of the upper horizons that favors vegetation growth. The latent discharge of mineralized waters affects the saline soils composition. In comparison with the clark of the Earth's lithosphere, accumulation of Ba2,5, Sr2,3, Ca1,8, Mg1,7, P1,6 is occurred. In the saline soils of the Haramodon lowland, not typical for the parent rocks elements such as Mg3,2, S2,9, Li2,3, P2,0, Co2,0, Ca1,8, Mn1,7, V1,6, Cu1,6, Cr1,6, Ti1,5, Ni1,5, Fe1,4 are accumulated.

Approximation by the Kλ means of Fourier series and conjugate series of functions in Hα,p

In this paper, we consider two operators based on the K? means of the Fourier series of and conjugate series of functions of class Lp, p > 1. We study the degree of convergence of these operators to the functions whose Fourier series and Allied series are used.

A variation on absolute weighted mean summability factors of Fourier Series and its conjugate series

In this paper, theorems concerning $\left|\bar{N},p_{n},\theta_{n}\right|_{k}$ factors of Fourier series and its conjugate series are studied. The presented results provide with improvements as well as generalizations of some known results.

Transformation of organic substances in the conjugate series of surface waters of North Karelia

In this study, compositions of organic matter were investigated in the conjugate series of natural waters, including that from soil water, wetlands, streams, and lakes. In determinations of compositions of aliphatic and benzoic acids and humic substances, humic substances comprised the bulk of dissolved organic carbon, with 28% in lake waters and 57% in waters of wetlands and a weighted average molecular mass of 1 kDa. Aliphatic and benzoic acids comprised ≤ 2% of the total carbon content of water-soluble organic compounds. Transformations of dissolved organic matter occurred in a series of surveyed waters. Specifically, compositions and specific characteristics are dynamic, and increases in the fraction with a molecular weight of < 1 kDa were associated with photo- and bio-degradation of macromolecular organic compounds.