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A concise proof of Oppenheim's double inequality relating to the cosine and sine functions

Mathematics – Classical Analysis and ODEs
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A connection between orthogonal polynomials on the unit circle and matrix orthogonal polynomials on the real line

Mathematics – Classical Analysis and ODEs
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A connection formula between the Ramanujan function and the $q$-Airy function

Mathematics – Classical Analysis and ODEs
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A connection formula of the $q$-confluent hypergeometric function

Mathematics – Classical Analysis and ODEs
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A Connection Formula of the Hahn-Exton $q$-Bessel Function

Mathematics – Classical Analysis and ODEs
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A constructive Borel-Cantelli Lemma. Constructing orbits with required statistical properties

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A continuation principle for a class of periodically perturbed autonomous systems

Mathematics – Classical Analysis and ODEs
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A Converse of the Jensen Inequality for Convex Mappings of Several Variables and Applications

Mathematics – Classical Analysis and ODEs
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A Converse Sum of Squares Lyapunov Result with a Degree Bound

Mathematics – Classical Analysis and ODEs
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A Coordinate-Dependent Local Resolution of Singularities with Applications

Mathematics – Classical Analysis and ODEs
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A counterexample to a multilinear endpoint question of Christ and Kiselev

Mathematics – Classical Analysis and ODEs
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A counterexample to a weak-type estimate for potential spaces and tangential approach regions

Mathematics – Classical Analysis and ODEs
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A counterexample to Khabibullin's conjecture for integral inequalities

Mathematics – Classical Analysis and ODEs
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A Counterpart of Bessel's Inequality in Inner Product Spaces and Some Gruss Type Related Results

Mathematics – Classical Analysis and ODEs
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A Counterpart of Schwarz's Inequality in Inner Product Spaces

Mathematics – Classical Analysis and ODEs
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A criteria for correct solvability in L_p(R) of a general Sturm-Liouville equation

Mathematics – Classical Analysis and ODEs
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A criterion for compactness in L_p(R) of the resolvent of the maximal Sturm-Leovuile operator of general form

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A critical-exponent Balian-Low theorem

Mathematics – Classical Analysis and ODEs
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A deconvolution estimate and localization in spline-type spaces

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A density theorem for parameterized differential Galois theory

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