Clarkson’s Inequalities for Periodic Sobolev Space by I.V. Korytov

“…The importance of the discussed issue rests with the need to develop fundamentals in research of error estimation using functional analysis techniques. Th us, the error of approximation is represented via a linear functional over the Banach space. …”
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Novel Method for Approximating Fixed Point of Generalized <i>α</i>-Nonexpansive Mappings with Applications to Dynamics of a HIV Model by Godwin Amechi Okeke, Akanimo Victor Udo, Rubayyi T. Alqahtani

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Preface to the Special Issue “Advances in Nonlinear Analysis, Analytic Number Theory, and Mathematical Inequalities” by Wei-Shih Du, Ravi Prakash Agarwal, Feng Qi

“…Over the past century, nonlinear analysis has been widely and significantly applied in many areas of mathematics, including nonlinear ordinary and partial differential equations, functional analysis, fixed point theory, nonlinear optimization, variational analysis, convex analysis, dynamical system theory, mathematical economics, signal processing, control theory, data mining, and more [...]…”
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Mixed problem with integral conditions for a certain class of hyperbolic equations

“…We prove the existence, uniqueness, and the continuous dependence upon the data of a generalized solution. We use a functional analysis method based on a priori estimate and on the density of the range of the operator generated by the considered problem.…”
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Clinical use of optical coherence tomography and fractional flow reserve by Ivanović Vladimir, Petrović Milovan, Čanković Milenko, Stojšić-Milosavljević Anastazija, Čemerlić Snežana

“…The second and the third case reports showed the complementarity between functional analysis (FFR) and morphological analysis (OCT) of stenosis in solving a complex coronary disease. …”
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A boundary value problem with an integral condition for a certain fractional differential equation by Bouthina Sabah Hammou, Abdelkader Djerad, Ameur Memou, Chahla Latrous

“…Secondly, the density of the operator range generated by the considered problem is proved by using the functional analysis method. …”
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Using mathematical research methods for analyzing environmental and economic prospects of the Russian arctic oil and gas producing shelf projects by O. V. Kudryavtseva, E. V. Serebrennikov

“…Objective: to study the ecological and economic prospects of Russian Arctic oil and gas offshore projects by the method of functional analysis.Methods: mathematical modeling, comparative analysis, empirical analysis.Results: a method is proposed for assessing the financial provision of measures to eliminate the alleged environmental damage caused by hydrocarbon spills in Arctic offshore oil and gas production projects; models of oil spills in the “Prirazlomnoye” and “Pobeda” Arctic offshore fields are considered; the cost of measures to eliminate these incidents is estimated.Scientific novelty: for the first time, the paper investigates the function of financial provision for measures to eliminate the alleged environmental damage due to hydrocarbons spills at the “Prirazlomnoye” and “Pobeda” Arctic offshore oil and gas fields with the mathematical method of functional analysis, calculation of the maximum costs, as well as the time from the start of the spill, which accounts for these functional values. …”
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Computational selection of transcriptomics experiments improves Guilt-by-Association analyses. by Prajwal Bhat, Haixuan Yang, László Bögre, Alessandra Devoto, Alberto Paccanaro

“…However, the use of such large collections could hamper GBA functional analysis for genes whose expression is condition specific. …”
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A Few Conditions for a C*-Algebra to Be Commutative by Lajos Molnár

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Analysing the Source Text: A First Step for a Successful Translation by Claudia E. Stoian

“…The present paper proposes the functional analysis as a helpful approach for training translation and interpreting students into such skills. …”
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Some Remarks on Completeness and Compactness in G-Metric Spaces by Merve İlkhan, Emrah Evren Kara

“…Complete metric spaces havegreat importance in functional analysis and its applications. The purpose ofthis paper is to introduce and study on some types of completeness ingeneralized metric spaces by the aid of Bourbaki Cauchy and cofinallyBourbaki-Cauchy sequences which are belonging to the class bigger than theclass of Cauchy sequences. …”
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Predicting electricity supply and demand curves with functional data techniques by Zehang Li, Andrés M. Alonso, Lorenzo Pascual

“…This paper proposes predicting hourly supply and demand curves and the matching price and matching energy for the following day using various functional analysis techniques. It combines functional analysis and machine learning techniques, incorporates seasonal and regular lags due to the strong dependency found between consecutive hours, and includes meteorological information from eight variables across Spanish provinces. …”
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ANALYTICAL AND SYNTHETIC APPROACH TO THE FORMATION OF PROFESSIONAL COMPETENCIES OF THE MASTER’S PROGRAM «INDUSTRIAL AND FIRE SAFETY» by Y. Zhuravleva, A. Shchekin, M. Katrenko, L. Nebytova

“…The analytical-synthetic approach to the formation of competencies allows you to decompose and synthesize the field of knowledge, set the boundaries of the system, analyze the influencing factors, and conduct their structural and functional analysis.…”
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On the Thermodynamic Properties of the Spinless Duffin-Kemmer-Petiau Oscillator in Noncommutative Plane by Zhi Wang, Zheng-Wen Long, Chao-Yun Long, Wei Zhang

“…The Duffin-Kemmer-Petiau oscillator for spin 0 particle in noncommutative plane is analyzed and the energy eigenvalue of the system is obtained by employing the functional analysis method. Furthermore, the thermodynamic properties of the noncommutative DKP oscillator are investigated via numerical method and the influence of noncommutative space on thermodynamic functions is also discussed. …”
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Ajuares de la nobleza en contextos de Capacocha: collares, tupus y colgantes de las Doncellas del Ampato y Llullaillaco by Dagmar Bachraty, Caroline Nautré

“…The objective of this article is a comparative and functional analysis of the necklace that accompanies the clothing of the Maiden of Llullaillaco and the miniature pendants that hung from the two metallic tupus that close the acsu of the Maiden of Ampato. …”
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Wavelet-type frames and wavelet-type bases by M. M. Shamooshaky

“…The concepts of basis and frame are studied in the classical literature of functional analysis, Fourier analysis, and wavelet theory in a wide range. …”
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Non-archimedean Eberlein-mulian theory by T. Kiyosawa, W. H. Schikhof

“…It is shown that, for a large class of non-archimedean normed spaces E, a subset X is weakly compact as soon as f(X) is compact for all f∈E′ (Theorem 2.1), a fact that has no analogue in Functional Analysis over the real or complex numbers. As a Corollary we derive a non-archimedean version of the Eberlein-mulian Theorem (2.2 and 2.3, for the classical theorem, see [1], VIII, §2 Theorem and Corollary, page 219).…”
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Analysis of Implicit Type Nonlinear Dynamical Problem of Impulsive Fractional Differential Equations by Naveed Ahmad, Zeeshan Ali, Kamal Shah, Akbar Zada, Ghaus ur Rahman

“…For stability, we utilized classical functional analysis. Also, an example is given to demonstrate our main theoretical results.…”
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Pigeon pea-mediated soil microbial shifts improve agroecosystem multifunctionality in long-term maize–palisade grass intercropping by Ahmad Nuruddin Khoiri, Nídia Raquel Costa, Carlos Alexandre Costa Crusciol, Cristiano Magalhães Pariz, Ciniro Costa, Juliano Carlos Calonego, André Michel de Castilhos, Daniel Martins de Souza, Paulo Roberto de Lima Meirelles, Igor Vilela Cru, Luiz Gustavo Moretti, João William Bossolani, Eiko Eurya Kuramae

“…., which were positively correlated with soil health, plant productivity, and EMF index. Functional analysis indicated that M + PG + PP treatment enhanced nitrogen metabolism, biofilm formation, and exopolysaccharide (EPS) biosynthesis, improving soil fertility and microbial activity. …”
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The C/C Genotype of rs1231760 in <i>RGS2</i> Is a Risk Factor for the Progression of <i>H. pylori</i>-Positive Atrophic Gastritis by Increasing <i>RGS2</i> Expression by Naoyuki Yamaguchi, Takuki Sakaguchi, Jing-Jing Wei, Yuna Tazoe, Tatsuo Inamine, Daisuke Fukuda, Ken Ohnita, Tatsuro Hirayama, Hajime Isomoto, Kayoko Matsushima, Kazuhiro Tsukamoto

“…A correlation analysis between the selected SNP and AG in 200 <i>H. pylori</i>-positive and 302 <i>H. pylori</i>-negative participants was conducted. For functional analysis of the SNP, a dual-luciferase assay using reporter plasmids with a major or minor allele sequence was carried out. …”
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