convex and concave
Convex and Concave Functions
... study convex and concave functions and use them to drive arithmetic-geometric mean inequality, A-G-H mean inequality, Chebyshey's inequality, Holder inequality, Minkowski's inequality and Jensen's ...
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Convex and concave types of second baroclinic mode internal solitary waves
... The convex waveform displaced the thermal structure upward in the upper layer and downward in the lower layer, causing a bulge in the ...The concave waveform did the opposite, causing a constriction. A few ...
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Experimental investigation of the flow-induced vibration of a curved cylinder in convex and concave configurations
... a concave and a convex, were tested regarding the direction of the flow, in addition to a straight cylinder that served as ...with concave and convex configurations revealed significantly ...
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Monotonicity Results for Arithmetic Means of Concave and Convex Functions
... [3] Ch.-P. Chen, F. Qi, P. Cerone and S. S. Dragomir, Monotonicity of sequences involving convex and concave functions, Math. Inequal. Appl. 6 (2003), no. 2, 229–239. RGMIA Res. Rep. Coll. 5 (2002), no. 1, ...
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Multiple Solutions for a Class of Concave Convex Quasilinear Elliptic Systems with Nonlinear Boundary Condition
... R . How- ever, as far as we know, there are few results of problem (1.1) in addition to concave-convex nonlinearities, i.e., 1 q p , including nonlinear boundary condition. We focus on the existence of ...
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Design formulae for a concave convex arc line gear mechanism
... of concave convex curve line gear mechanism can reach ...of concave convex arc line gears is the space curve meshing ...the concave convex arc line gears are the tooth profile ...
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Multiplicity result for a critical elliptic system with concave-convex nonlinearities
... We study the existence of multiple solutions of a strongly indefinite elliptic system involving the critical Sobolev exponent and concave-convex nonlinearities. By using a suitable version of the dual ...
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On Multiple Solutions of Concave and Convex Nonlinearities in Elliptic Equation on
... Tshinanga, “On multiple solutions of semilinear elliptic equation on unbounded domains with concave and convex nonlinearities,” Nonlinear Analysis: Theory, Methods & Applications , v[r] ...
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MOCCA: Mirrored Convex/Concave Optimization for Nonconvex Composite Functions
... (mirrored convex/concave) algorithm, a primal/dual optimization approach that takes a local convex approximation to each term at every ...approximately convex (that is, any concavity in one ...
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Fractional Hermite–Hadamard inequalities for \((s,m)\) convex or s concave functions
... Both inequalities (1.4) hold in the reversed direction if f is s-concave in the second sense. In a recent paper, Eftekhari [5] defined the class of (s, m)-convex functions in the second sense as follows: A ...
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Multiple positive solutions of semilinear elliptic equations involving concave and convex nonlinearities in ℝN
... Hsu, TS, Lin, HL: Four positive solutions of semilinear elliptic equations involving concave and convex nonlinearities in ℝ N.. Tarantello, G: On nonhomogeneous elliptic involving critic[r] ...
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Existence of multiple solutions for fractional p-Kirchhoff equations with concave-convex nonlinearities
... In [] and [], the authors discussed the system (or a single equation, that is, u = v) in the special case of M ≡ . They obtained some interesting results by using the Nehari manifold method. For the special case p = ...
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Monotonicity of Sequences Involving Convex and Concave Functions
... Qi, An inequality for the ratios of the arithmetic means of functions with a positive parameter , RGMIA Res. Ume, An elementary proof of H[r] ...
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Jensen's Inequality for Convex Concave Antisymmetric Functions and Applications
... every convex function is Jensen-convex. To see that the class of convex functions is a proper subclass of Jensen-convex functions, see 2, page ...
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A simple and robust model to explain convex corner undercutting in wet bulk micromachining
... (i.e. convex and concave) in such a way that the convex edged silicon atoms have one dangling bond, while the concave cornered silicon atoms have all their bonds engaged and thus there is no ...
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Multiple homoclinic solutions for p-Laplacian Hamiltonian systems with concave–convex nonlinearities
... Wan, L.L., Tang, C.L.: Existence and multiplicity of homoclinic orbits for second order Hamiltonian systems without (AR) condition. Wu, D.L., Tang, C.L., Wu, X.P.: Homoclinic orbits for [r] ...
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On semilinear biharmonic equations with concave-convex nonlinearities involving weight functions
... Applying the regularity theory and strong maximum principle of elliptic equations, we find that u + is one positive solution of problem (.)... Applying the regularity theory and stron[r] ...
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Long period grating in multicore optical fiber:an ultra-sensitive vector bending sensor for low curvatures
... collected using an OSA with the resolution of 0.2 nm. These measurements were repeated for two opposite bending directions, convex and concave. A typical experimental results for a single fiber device are ...
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Laplace’s equation with concave and convex boundary nonlinearities on an exterior region
... It is interesting to see that some nice properties of the first exterior p -harmonic Steklov eigenvalue problem are described in Han [ 12 , 13 , 15 ] and he [ 14 ] also studied an exterio[r] ...
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Investigation of Die Clearance in Rubber Pad Forming of Metallic Bipolar Plates
... In the present research, the influence of the die clearance amount has been examined in both convex and concave dies. In convex die, the flow channel is changeless while the anode-cathode bipolar ...
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