Results 1 to 10 of about 40 (40)
Increasing property and logarithmic convexity of functions involving Dirichlet lambda function
In this article, with the help of an integral representation of the Dirichlet lambda function, by means of a monotonicity rule for the ratio of two integrals with a parameter, and by virtue of complete monotonicity and another property of an elementary ...
Qi Feng, Lim Dongkyu
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Background – In clinical practice, the diagnosis of otitis externa (OE) normally is based on otoscopic examination and cytological findings, followed by empirical treatment with topic drugs. Biofilm‐producing bacteria are frequently present in OE, even if its presence is often underdiagnosed. Hypothesis/Objectives – The primary aim of this study was to
Luca Luciani +6 more
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The paper investigates the Hoeffding–Sobol decomposition of homogeneous co-survival functions. For this class, the Choquet representation is transferred to the terms of the functional decomposition, and in addition to their individual variances, or to ...
Mercadier Cécile, Ressel Paul
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m-Convex Functions of Higher Order
In this research we introduce the concept of m-convex function of higher order by means of the so called m-divided difference; elementary properties of this type of functions are exhibited and some examples are provided.
Lara Teodoro +2 more
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Sufficient conditions for symmetric matrices to have exactly one positive eigenvalue
Let A = [aij] be a real symmetric matrix. If f : (0, ∞) → [0, ∞) is a Bernstein function, a sufficient condition for the matrix [f (aij)] to have only one positive eigenvalue is presented.
Al-Saafin Doaa, Garloff Jürgen
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A family of singular functions and its relation to harmonic fractal analysis and fuzzy logic
We study a parameterized family of singular functions which appears in a paper by H. Okamoto and M. Wunsch (2007). Various properties are revisited from the viewpoint of fractal geometry and probabilistic techniques.
de Amo Enrique +2 more
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In connection with application to various problems of operator theory, we study almost monotonic functions w(x, r) depending on a parameter x which runs a metric measure space X, and the so called index numbers m(w, x), M(w, x) of such functions, and consider some generalized Zygmund, Bary, Lozinskii and Stechkin conditions.
Natasha Samko, Vladimir D. Stepanov
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A new proof of monotonicity for extended mean values
In this article, a new proof of monotonicity for extended mean values is given.
Feng Qi, Sen-Lin Xu, Lokenath Debnath
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Monotone and convex H*‐algebra valued functions
Classical theorems about monotone and convex functions are generalized to the case of H*‐algebra valued functions. Also there are new examples of a vector measure.
Parfeny P. Saworotnow
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Extension of complete monotonicity results involving the digamma function
By using some analytical techniques, we prove a complete monotonicity property of a certain function involving the (p, k)-digamma function. Subsequently, we derive some inequalities for the (p, k)- digamma function.
Nantomah Kwara
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