Results 11 to 20 of about 68 (64)

Parameter depending almost monotonic functions and their applications to dimensions in metric measure spaces

open access: yesJournal of Function Spaces, Volume 7, Issue 1, Page 61-89, 2009., 2009
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
wiley   +1 more source

Monotone subsequence via ultrapower

open access: yesOpen Mathematics, 2018
An ultraproduct can be a helpful organizing principle in presenting solutions of problems at many levels, as argued by Terence Tao. We apply it here to the solution of a calculus problem: every infinite sequence has a monotone infinite subsequence, and ...
Błaszczyk Piotr   +3 more
doaj   +1 more source

A new proof of monotonicity for extended mean values

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 22, Issue 2, Page 417-421, 1999., 1999
In this article, a new proof of monotonicity for extended mean values is given.
Feng Qi, Sen-Lin Xu, Lokenath Debnath
wiley   +1 more source

Monotone and convex H*‐algebra valued functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 3, Page 473-479, 1996., 1995
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
wiley   +1 more source

Extension of complete monotonicity results involving the digamma function

open access: yesMoroccan Journal of Pure and Applied Analysis, 2018
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
doaj   +1 more source

Copulas, stable tail dependence functions, and multivariate monotonicity

open access: yesDependence Modeling, 2019
For functions of several variables there exist many notions of monotonicity, three of them being characteristic for resp. distribution, survival and co-survival functions. In each case the “degree” of monotonicity is just the basic one of a whole scale.
Ressel Paul
doaj   +1 more source

Numerical Investigation of Fractional Third-Order Differential Equation Using Quartic B-Spline Functions

open access: yesAdvances in Mathematical Physics
MSC2020 Classification: 39A12, 39B62, 33B10, 26A48, 26A51.
Syeda Alishba Batool   +4 more
doaj   +1 more source

Monotonicity properties and inequalities related to generalized Grötzsch ring functions

open access: yesOpen Mathematics, 2019
In the paper, the authors present some monotonicity properties and some sharp inequalities for the generalized Grötzsch ring function and related elementary functions. Consequently, the authors obtain new bounds for solutions of the Ramanujan generalized
Wang Fei, He Jian-Hui, Yin Li, Qi Feng
doaj   +1 more source

Decreasing and complete monotonicity of functions defined by derivatives of completely monotonic function involving trigamma function

open access: yesDemonstratio Mathematica
In this study, using convolution theorem of the Laplace transforms, a monotonicity rule for the ratio of two Laplace transforms, Bernstein’s theorem for completely monotonic functions, and other analytic techniques, the authors verify decreasing property
Yin Hong-Ping, Han Ling-Xiong, Qi Feng
doaj   +1 more source

Characterizations of minimal elements of upper support with applications in minimizing DC functions

open access: yesOpen Mathematics
In this study, we discuss on the problem of minimizing the differences of two non-positive valued increasing, co-radiant and quasi-concave (ICRQC) functions defined on XX (where XX is a real locally convex topological vector space).
Mirzadeh Somayeh   +2 more
doaj   +1 more source

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