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Since the AlN barrier layer was very thin, it would bear a much larger electric field and meanwhile a stronger converse piezoelectric effect once a reverse gate bias was applied.
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In this section we give some weak, strong, converse duality relations between problems (D) and (FP).
Weak, strong, converse and self-duality relations were established under certain invexity assumptions.
The strong converse inequality is an important problem of operator approximation theory.
The strong converse inequalities for various operators have been investigated in subsequent papers (e.g. [14, 15]).
Avicenna focussed most of his attention on the dhâtî, and when he looked for the strongest converse of a dhâtî proposition, he ignored wasfî converses.
The intention of this paper is to prove a strong converse inequality of type B for the quasi-interpolants (M_{n}^{(2r-1)}f) by using high order modulus.
The weak, strong and converse duality theorems are proved.
Weak, strong and converse duality theorems are established under the generalized F-convexity assumptions.
We establish weak, strong and converse duality relations between (NFVP)′ and (NFVD ′.
Next, we will prove weak, strong, and converse duality results between (WHP) and (WHD).
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