Results 181 to 190 of about 16,027 (213)
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Hermite-Hadamard type inequalities for composite m-convex functions
AIP Conference Proceedings, 2021The Hermite-Hadamard type inequality has been extended to some classes of convex functions and composite convex functions. In this paper, we refine the definition of composite-ɸ−1 convex function and definition of m-convex function to define the composite-ɸ−1 m-convex functions. From the definition, we obtain some inequalities related to GA-m-convexity,
N.M.F.H.N.B. Alam, Ajab Bai Akbarally
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Composite complex Hadamard spectra of Boolean functions
1996 IEEE International Symposium on Circuits and Systems. Circuits and Systems Connecting the World. ISCAS 96, 2002A new class of orthogonal transform, Complex Hadamard Transform is proposed as a spectral technique for analysis, synthesis and testing of Boolean functions. The method is presented to evaluate Complex Hadamard Spectra of AND, OR and XOR of Boolean functions directly front the spectra of the separate Boolean functions.
B.J. Falkowski, S. Rahardja
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Realization of the Hadamard gate based on superposition of the composite solitons
Physics Letters A, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
T. Uthayakumar, U. Al Khawaja
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Complex composite spectra of Unified Complex Hadamard transform for logic functions
IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing, 2000A method to evaluate the Unified Complex Hadamard spectra of AND, OR, and XOR for Boolean functions, directly from the spectra of the functions, is presented. The results are given using a general coding scheme, and different possible codings of Boolean functions are also discussed.
Rahardja, Susanto, Falkowski, Bogdan J.
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The Superconvergence of the Composite Trapezoidal Rule for Hadamard Finite Part Integrals
Numerische Mathematik, 2005Several papers have dealt with quadrature formulas for evaluating Hadamard finite part integrals (or hypersingular integrals) with \((p+1)\)-order singularity. On the other hand the composite trapezoidal method has been applied for numerical integration and numerical solution of integral equations with smooth or weakly singular kernels. The paper deals
Wu, Jiming, Sun, Weiwei
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NTSC interframe direct coding scheme by composite motion compensation on hadamard transform
Electronics and Communications in Japan (Part I: Communications), 1995AbstractAs a highly efficient coding scheme for the TV signal, the component coding based on the motion‐compensation DCT is employed widely because of its high coding efficiency. On the other hand, the TV signals in the studio in the broadcast station, etc., are based mostly on the composite TV signal configuration including NTSC.
Takahiro Hamada, Shuichi Matsumoto
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Proceedings 1997 27th International Symposium on Multiple- Valued Logic, 2002
Relationship of the recently introduced family of unified complex Hadamard transforms with other transforms used in binary and multiple-valued logic design are investigated in this paper. All the complex Hadamard matrices can be generated by a common unifying formula presented here.
S. Rahardja, B.J. Falkowski
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Relationship of the recently introduced family of unified complex Hadamard transforms with other transforms used in binary and multiple-valued logic design are investigated in this paper. All the complex Hadamard matrices can be generated by a common unifying formula presented here.
S. Rahardja, B.J. Falkowski
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The superconvergence of composite Newton–Cotes rules for Hadamard finite-part integral on a circle
Computing, 2009The authors consider the numerical approximation of a finite-part integral with second-order singularity at the point \(t\) in the periodic case. For this purpose they suggest to use a compound quadrature formula based on a standard Newton-Cotes rule of order \(k\), weighted with the singular kernel in question. They prove that the error at the point \(
Zhang, Xiaoping, Wu, Jiming, Yu, Dehao
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International Journal of Computer Mathematics, 2010
The quadrature method for Hadamard finite-part integral on a circle is discussed and the emphasis is placed on the pointwise superconvergence phenomenon of the composite trapezoidal rule, i.e. when the singular point coincides with some a priori known points, the accuracy can be better than what is globally possible. The existence and uniqueness of the
Xiaoping Zhang, Jiming Wu, Dehao Yu
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The quadrature method for Hadamard finite-part integral on a circle is discussed and the emphasis is placed on the pointwise superconvergence phenomenon of the composite trapezoidal rule, i.e. when the singular point coincides with some a priori known points, the accuracy can be better than what is globally possible. The existence and uniqueness of the
Xiaoping Zhang, Jiming Wu, Dehao Yu
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IEEE Transactions on Communications, 1982
Since differential-pulse-code modulation (DPCM) and orthogonal transform coding (OTC) are the most fundamental methods of high-efficiency coding (bit-reduction method), it is important to clarify the basic coding characteristics of these methods and the difference between them in order to utilize the bit-reduction method effectively.
H.Murakami, Y.Hatori, H.Yamamoto
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Since differential-pulse-code modulation (DPCM) and orthogonal transform coding (OTC) are the most fundamental methods of high-efficiency coding (bit-reduction method), it is important to clarify the basic coding characteristics of these methods and the difference between them in order to utilize the bit-reduction method effectively.
H.Murakami, Y.Hatori, H.Yamamoto
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