Results 31 to 40 of about 329,265 (363)
AIMS Mathematics, 2022 In this paper, we mainly prove monotonicity and convexity properties of certain functions involving zero-balanced Gaussian hypergeometric function F(a,b;a+b;x).
Ye-Cong Han, Chuan-Yu Cai, Ti-Ren Huang
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Second Law-Like Inequalities with Quantum Relative Entropy: An Introduction [PDF]
, 2012 We review the fundamental properties of the quantum relative entropy for finite-dimensional Hilbert spaces. In particular, we focus on several inequalities that are related to the second law of thermodynamics, where the positivity and the monotonicity of
Sagawa, Takahiro
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Functions operating on several multivariate distribution functions
Dependence Modeling, 2023 Functions ff on [0,1]m{\left[0,1]}^{m} such that every composition f∘(g1,…,gm)f\circ \left({g}_{1},\ldots ,{g}_{m}) with dd-dimensional distribution functions g1,…,gm{g}_{1},\ldots ,{g}_{m} is again a distribution function, turn out to be characterized ...
Ressel Paul
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Monotone and near-monotone biochemical networks [PDF]
Systems and Synthetic Biology, 2007 Monotone subsystems have appealing properties as components of larger networks, since they exhibit robust dynamical stability and predictability of responses to perturbations. This suggests that natural biological systems may have evolved to be, if not monotone, at least close to monotone in the sense of being decomposable into a "small" number of ...
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Mathematics in Engineering, 2021 The validity of the comparison principle in variable coefficient fully nonlinear gradient free potential theory is examined and then used to prove the comparison principle for fully nonlinear partial differential equations which determine a suitable ...
Marco Cirant, Kevin R. Payne
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Analytical and Numerical Monotonicity Analyses for Discrete Delta Fractional Operators
Mathematics, 2022 In this paper, first, we intend to determine the relationship between the sign of Δc0βy(c0+1), for 10 (the monotonicity of y), where Δc0βy(z) will be assumed to be negative for each z∈Nc0T:={c0,c0+1,c0+2,⋯,T} and some T∈Nc0:={c0,c0+1,c0+2,⋯}.
Kamsing Nonlaopon +5 more
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Rational Cubic Spline Interpolation for Monotonic Interpolating Curve with C2 Continuity
MATEC Web of Conferences, 2017 Monotonicity preserving interpolation is very important in many sciences and engineering based problems. This paper discuss the monotonicity preserving interpolation for monotone data set by using C2 rational cubic spline interpolant (cubic/quadratic ...
Bin Abdul Karim Samsul Ariffin
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AIMS Mathematics, 2023 In this paper, we focus on investigating various properties of generalized $ (p, q) $-elliptic integrals and the generalized $ (p, q) $-Hersch-Pfluger distortion function.
Chuan-Yu Cai +2 more
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Generalized Equilibrium Problem with Mixed Relaxed Monotonicity
The Scientific World Journal, 2014 We extend the concept of relaxed α-monotonicity to mixed relaxed α-β-monotonicity. The concept of mixed relaxed α-β-monotonicity is more general than many existing concepts of monotonicities.
Haider Abbas Rizvi +2 more
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Monotonicity of solutions for fractional p-equations with a gradient term
Open Mathematics, 2022 In this paper, we consider the following fractional pp-equation with a gradient term: (−Δ)psu(x)=f(x,u(x),∇u(x)).{\left(-\Delta )}_{p}^{s}u\left(x)=f\left(x,u\left(x),\nabla u\left(x)). We first prove the uniqueness and monotonicity of positive solutions
Wang Pengyan
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