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Discrete Hilbert-type inequalities including Hilbert's inequality are important in mathematical analysis and its applications. In 1998, the author presented an extension of Hilbert's integral inequality with an independent parameter. In 2004, some ne
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https://doi.org/10.2174/97816080508641090101
https://doi.org/10.2174/97816080508641090101
Autor:
F. A. Izadi
Publikováno v:
Discrete Calculus By Analogy ISBN: 9781608050864
Firstly, we define the discrete differentiation and integration of functions and their arithmetic properties. By using these properties, we can easily calculate many important summation formulas in particular a closed formula for the sum of kth power
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https://doi.org/10.2174/978160805086410901010038
https://doi.org/10.2174/978160805086410901010038
Autor:
F. A. Izadi
Publikováno v:
Discrete Calculus By Analogy ISBN: 9781608050864
This chapter deals with ten different problems. Except for the three sections; namely an unsolved problem about a cubic root of a complex number, symmetric derivative, and the spectral de- composition of a matrix by a projection matrices, all other s
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https://doi.org/10.2174/978160805086410901010101
https://doi.org/10.2174/978160805086410901010101
Autor:
F. A. Izadi
Publikováno v:
Discrete Calculus By Analogy ISBN: 9781608050864
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https://doi.org/10.2174/978160805086410901010143
https://doi.org/10.2174/978160805086410901010143
Autor:
F. A. Izadi
Publikováno v:
Discrete Calculus By Analogy ISBN: 9781608050864
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https://doi.org/10.2174/978160805086410901010iii
https://doi.org/10.2174/978160805086410901010iii
Autor:
F. A. Izadi
Publikováno v:
Discrete Calculus By Analogy ISBN: 9781608050864
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https://doi.org/10.2174/978160805086410901010141
https://doi.org/10.2174/978160805086410901010141
Autor:
F. A. Izadi
Publikováno v:
Discrete Calculus By Analogy ISBN: 9781608050864
In this chapter we discuss sequences which are defined by certain recurrence relations called difference equations. In general, they are divided into two different types; the finite and the infinite sequences. The finite sequences in turn are separat
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https://doi.org/10.2174/978160805086410901010020
https://doi.org/10.2174/978160805086410901010020
Autor:
F. A. Izadi
Publikováno v:
Discrete Calculus By Analogy ISBN: 9781608050864
For the purpose of being self-contained, the book starts with some elementary topics. These include the definition of various standard sets, some basic combinatorial definitions and identities, introducing complex numbers and their arithmetic propert
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