Results 51 to 60 of about 7,667 (234)
The Riemann-Stieltjes Integral
Missouri Journal of Mathematical Sciences, 1994 Riemann-Stieltjes integration is an optional topic for a first course in real analysis. In this paper, we examine some of the pedagogical reasons in favor of its inclusion and some of the technical anachronisms associated with it.
openaire +2 more sources
Riemann zeta zeros and prime number spectra in quantum field theory
, 2013 The Riemann hypothesis states that all nontrivial zeros of the zeta function lie in the critical line $\Re(s)=1/2$. Hilbert and P\'olya suggested that one possible way to prove the Riemann hypothesis is to interpret the nontrivial zeros in the light of ...
Menezes, G. +2 more
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Option pricing in a stochastic delay volatility model
Mathematical Methods in the Applied Sciences, Volume 48, Issue 2, Page 1927-1951, 30 January 2025.This work introduces a new stochastic volatility model with delay parameters in the volatility process, extending the Barndorff–Nielsen and Shephard model. It establishes an analytical expression for the log price characteristic function, which can be applied to price European options.
Álvaro Guinea Juliá +1 more
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International Journal of Differential Equations, Volume 2025, Issue 1, 2025.The present study investigates the controllability problems for higher‐order semilinear fractional differential systems (HOSLFDSs) with state and control delays in the context of the Caputo fractional derivative. Exploiting the invertibility of the Gramian matrix of fractional order, the necessary and sufficient conditions for the controllability ...
Anjapuli Panneer Selvam +4 more
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Advances in Difference Equations, 2018 This paper studies a system of fractional differential equations with Riemann–Stieltjes integral conditions. The existence and uniqueness of nontrivial solutions to the above system are established under some weaker conditions by the Leray–Schauder ...
Bingmei Liu +3 more
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Sharp Bounds for the Deviation of a Function from the Chord Generated by its Extremities and Applications [PDF]
, 2007 Sharp bounds for the deviation of a real-valued function f defined on a compact interval [a, b] to the chord generated by its end points (a, f (a)) and (b, f (b)) under various assumptions for f and f' including absolute continuity, convexity, bounded
Dragomir, Sever S
core
Sharpenings of Li's criterion for the Riemann Hypothesis
, 2006 Exact and asymptotic formulae are displayed for the coefficients $\lambda_n$ used in Li's criterion for the Riemann Hypothesis. For $n \to \infty$ we obtain that if (and only if) the Hypothesis is true, $\lambda_n \sim n(A \log n +B)$ (with $A>0$ and $B$
A. Voros +15 more
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Journal of Function Spaces, Volume 2025, Issue 1, 2025.In this paper, we study a class of asymptotically linear fractional nonlocal boundary value problems depending on the fractional derivative of lower order; the nonlinear term may be sign‐changing. By using the theory of fixed point index for asymptotically linear operators and the Banach contraction mapping principle, the multiplicity and uniqueness of
You Wu +4 more
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Discrete Dynamics in Nature and Society, 2018 This paper is concerned with the existence and multiplicity of the positive solutions for a fractional boundary value problem with multistrip Riemann–Stieltjes integral boundary conditions.
Tongling Lv, Huihui Pang, Limei Cao
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Journal of Mathematics, Volume 2025, Issue 1, 2025.This study presents a detailed investigation into the analytical properties of the generalized Gamma function introduced by Dilcher. We establish a fundamental recurrence relation and derive novel reflection formula for this generalized function, extending the classical identities known for the Euler Gamma function.
Gregory Abe-I-Kpeng +3 more
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