Best approximation of Hartley-Bessel multiplier operators on weighted Sobolev spaces by Ahmed Chana, Abdellatif Akhlidj

“… The main goal of this paper is to introduce the Hartley-Bessel \(L^2_\alpha\)-multiplier operators and to give for them some new results as Plancherel’s, Calderon’s reproducing formulas and Heisenberg’s, Donoho-Stark’s uncertainty principles. …”
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New Forms of the Open Newton-Cotes-Type Inequalities for a Family of the Quantum Differentiable Convex Functions by Jarunee Soontharanon, Muhammad Ali, Shahram Rezapour, Muhammad Toseef, Thanin Sitthiwirattham

“…These results extend the applicability of Newton-Cotes methods to quantum calculus, offering a novel contribution to the numerical analysis of convex functions. …”
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On Defining Expressions for Entropy and Cross-Entropy: The Entropic Transreals and Their Fracterm Calculus by Jan A. Bergstra, John V. Tucker

“…Classic formulae for entropy and cross-entropy contain operations <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mstyle scriptlevel="0" displaystyle="true"><mfrac><mi>x</mi><mn>0</mn></mfrac></mstyle></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mo form="prefix">log</mo><mn>2</mn></msub><mi>x</mi></mrow></semantics></math></inline-formula> that are not defined on all inputs. …”
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Naimark-Type Results Using Frames by Raksha Sharma, Nikhil Khanna

“…Also, using FASS, some Naimark-type results are obtained. Finally, a formula to give the average probability of an incorrect measurement using FASS is obtained.…”
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Sandwich-Type Results and Existence Results of Analytic Functions Associated with the Fractional <i>q</i>-Calculus Operator by Sudhansu Palei, Madan Mohan Soren, Daniel Breaz, Luminiţa-Ioana Cotîrlǎ

“…In the present investigation, we present certain subordination and superordination results for the <i>q</i>-integral operator of a fractional order associated with analytic functions in the open unit disk <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="bold">U</mi></semantics></math></inline-formula>. …”
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Predicting the depth of insertion of central venous catheters using a bronchoscopy-based carinal measurement technique or the Peres’ formula-based method in adults undergoing cardi... by Satyajeet Misra, Prasanta K. Das, Bikram K. Behera, Devishree Das, Tarun K. Patra

“…Methods: We randomised adults undergoing cardiac surgery into a bronchoscopy group or the Peres’ formula-based method group. CVCs were inserted through the right internal jugular vein. …”
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El desbanque del Usted, y el uso del Tú, al rescate de la igualdad comunicativa en un entorno universitario español by María Gemma Sánchez González

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Numerical collocation technique for solving modified equal width wave equation by Aqib Zafar, Shyam Sundra Santra, Muhammad Nasir

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Soybean Water Monitoring and Water Demand Prediction in Arid Region Based on UAV Multispectral Data by Shujie Jia, Mingyi Cui, Lei Chen, Shangyuan Guo, Hui Zhang, Zheyu Bai, Yaoyu Li, Linqiang Deng, Fuzhong Li, Wuping Zhang

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Health as the Main Value of Life in the Well-Wishes of the Mongolian peoples by Evdokia E. Khabunova, Ludmila S. Dampilova, Balzira V. Elbikova

“…Manifestation of these health criteria are characterized by constancy in many well-wishes, which is confirmed by textual coincidences of poetic formulas.…”
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Modern Trends in Public Funding of Higher Education by M. De Martino, G. F. Tkach, S. A. Kovalenko

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Results on Solution Set in Certain Interval-Valued Controlled Models by Savin Treanţă, Omar Mutab Alsalami

“…In this paper, a class of controlled variational control models is studied by considering the notion of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>q</mi><mo>,</mo><mi>w</mi><mo>)</mo><mo>−</mo><mi>π</mi></mrow></semantics></math></inline-formula>-invexity. …”
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Some Results on the Extended Hypergeometric Matrix Functions and Related Functions by Mohamed Abdalla, Sahar Ahmed Idris, Ibrahim Mekawy

“…In this article, we discuss certain properties for generalized gamma and Euler’s beta matrix functions and the generalized hypergeometric matrix functions. The current results for these functions include integral representations, transformation formula, recurrence relations, and integral transforms.…”
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A Bicomplex Proportional Fractional (<i>ϑ</i>,<i>φ</i>)-Weighted Cauchy–Riemann Operator Using Riemann–Liouville Derivatives with Respect to an Hyperbolic-Valued Function by José Oscar González-Cervantes, Juan Bory-Reyes, Juan Adrián Ramírez-Belman

“…Based on the Riemann–Liouville derivatives with respect to functions taking values in the set of hyperbolic numbers, we consider a new bicomplex proportional fractional <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>ϑ</mi><mo>,</mo><mi>φ</mi><mo>)</mo></mrow></semantics></math></inline-formula>-weighted Cauchy–Riemann operator, involving orthogonal bicomplex functions as weights, and its associated fractional Borel–Pompeiu formula is proved as the main result.…”
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Combining In Vitro, In Vivo, and In Silico Approaches to Explore the Effect of <i>Ceratonia siliqua</i> and <i>Ocimum basilicum</i> Rich Phenolic Formula on Lipid Metabolism and Pl... by Mohammadine Moumou, Amani Tayebi, Abderrahmane Hadini, Omar M. Noman, Abdulsalam Alhalmi, Hamza Ahmoda, Souliman Amrani, Hicham Harnafi

“…In this work, we explored the effect of an herbal formula (CBF) containing immature <i>Ceratonia siliqua</i> pods and <i>Ocimum basilicum</i> extracts on lipid metabolism disorders and lipoprotein-rich plasma (LRP) oxidation in mice. …”
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The Legendre’s Symbol Modulo p and Its Some Elementary Results by Jianghua Li, Yuan Zhang

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Free fermions with dephasing and boundary driving: Bethe Ansatz results by Vincenzo Alba

“…We check our results against exact diagonalization, finding perfect agreement.…”
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Renal Function and Ultrasound Imaging in Elderly Subjects by Luca Zanoli, Giulia Romano, Marcello Romano, Stefania Rastelli, Francesco Rapisarda, Antonio Granata, Pasquale Fatuzzo, Mariano Malaguarnera, Pietro Castellino

“…We evaluated in elderly subjects (a) the ability of GFR formulas to discriminate chronic kidney disease (CKD), (b) the correlation between renal morphology and function, and (c) the usefulness of combined r-US and GFR formulas to detect CKD. …”
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Some New Results on Vibrational Properties of Amorphous Group IV Semiconductors by M. A. Grado Caffaro, M. Grado Caffaro

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The Fast and Accurate Method of Tuning of SISO Controllers Using Seven Performance Indexes by Stopakevych A.О., Stopakevych О.A.

“…The first task is to create formulas and procedures for accurate calculation of performance indicators of control systems. …”
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