Results 1 to 10 of about 122 (24)
Some new Gronwall-Bihari type inequalities associated with generalized fractional operators and applications [PDF]
, 2022 In this paper, we derive some generalizations of certain Grönwall-Bihari type inequality for generalized fractional operators unifying Riemann-Liouville and Hadamard fractional operators for functions in one variable, which provide explicit bounds on ...
Ayari, Amira, Boukerrioua, Khaled
core +2 more sources
On the substitution rule for Lebesgue-Stieltjes integrals [PDF]
, 2012 We show how two change-of-variables formulae for Lebesgue-Stieltjes integrals generalize when all continuity hypotheses on the integrators are dropped.
Apostol +12 more
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Monotone and convex H*‐algebra valued functions
International 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
Riemann-Stieltjes Integral [PDF]
, 2016 In this article, the definitions and basic properties of Riemann-Stieltjes integral are formalized in Mizar [1]. In the first section, we showed the preliminary definition. We proved also some properties of finite sequences of real numbers. In Sec. 2, we
Nakasho, Kazuhisa +2 more
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On the positivity of Riemann-Stieltjes integrals [PDF]
, 2012 Correction: DOI:10.1017/S0004972713000713We study the question, whether a Riemann-Stieltjes integral of a positive continuous function with respect to a non-negative function of bounded variation is positive.Peer ...
Lukkarinen, Jani, S. Pakkanen, Mikko
core +2 more sources
Derivatives not first return integrable on a fractal set [PDF]
, 2018 We extend to s-dimensional fractal sets the notion of first return integral (Definition 5) and we prove that there are s-derivatives not s-first return ...
Bongiorno D
core +1 more source
Bounds for the Riemann–Stieltjes integral via s-convex integrand or integrator [PDF]
, 2012 Several bounds in approximating the Riemann–Stieltjes integral in terms of s-convex integrands or integrator are ...
Alomari, Mohammad Wajeeh
core +2 more sources
On a fractional integro-differential inclusion [PDF]
, 2014 We study a Cauchy problem for a fractional integro-differential inclusion of order $\alpha \in (1,2]$ involving a nonconvex set-valued map. Arcwise connectedness of the solution set is provided.
Cernea, A.
core +2 more sources
The dual of the space of functions of bounded variation [PDF]
, 2006 summary:In the paper, we show that the space of functions of bounded variation and the space of regulated functions are, in some sense, the dual space of each other, involving the Henstock-Kurzweil-Stieltjes ...
Aye, Khaing Khaing, Lee, Peng Yee
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Spaceability and algebrability of sets of nowhere integrable functions
, 2012 We show that the set of Lebesgue integrable functions in $[0,1]$ which are nowhere essentially bounded is spaceable, improving a result from [F. J. Garc\'{i}a-Pacheco, M. Mart\'{i}n, and J. B. Seoane-Sep\'ulveda.
Glab, Szymon +2 more
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