A short direct proof of the discrete Hardy inequality
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DOI: 10.1007/s00013-019-01395-6
Abstract: The purpose of this note is to expose a short proof of Hardy’s inequality in the sequence case. The proof is straightforward and provides the optimal constant $$p'$$ p ′ . read more here.
Keywords: short direct; direct proof; proof; proof discrete ... See more keywords
A Direct Proof of Convergence of Davis–Yin Splitting Algorithm Allowing Larger Stepsizes
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DOI: 10.1007/s11228-022-00631-6
Abstract: This note is devoted to the splitting algorithm proposed by Davis and Yin (Set-valued Var. Anal. 25(4), 829–858, 2017) for computing a zero of the sum of three maximally monotone operators, with one of them… read more here.
Keywords: splitting algorithm; direct proof; davis yin;
Weldon’s search for a direct proof of natural selection and the tortuous path to the Neo-Darwinian Synthesis
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DOI: 10.1007/s12045-017-0497-7
Abstract: W F R Weldon first clearly formulated the principles of natural selection in terms of what would have to be observed in natural populations in order to conclude that natural selection was, indeed, acting in… read more here.
Keywords: proof natural; weldon search; direct proof; selection ... See more keywords
Students’ Guided Reinvention of Proof Techniques: Direct Proof and Proof by Cases
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DOI: 10.1080/10511970.2025.2475746
Abstract: We present an approach to an introduction to proof course centered on students’ reinvention of core proof techniques. This paper focuses on the first unit of this course and introduces students to direct proof and… read more here.
Keywords: direct proof; reinvention; proof; proof cases ... See more keywords