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Modern discrete mathematics and analysis. With applications in cryptography, information systems and modeling. (English) Zbl 1403.05004

Springer Optimization and Its Applications 131. Cham: Springer (ISBN 978-3-319-74324-0/hbk; 978-3-319-74325-7/ebook). xi, 521 p., E1 (2018).

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Publisher’s description: A variety of modern research in analysis and discrete mathematics is provided in this book along with applications in cryptographic methods and information security, in order to explore new techniques, methods, and problems for further investigation. Distinguished researchers and scientists in analysis and discrete mathematics present their research. Graduate students, scientists and engineers, interested in a broad spectrum of current theories, methods, and applications in interdisciplinary fields will find this book invaluable.
The articles of this volume will be reviewed individually.
Indexed articles:
Aydi, Hassen; Czerwik, Stefan, Fixed point theorems in generalized b-metric spaces, 1-9 [Zbl 1402.54036]
Zhao, Chang-Jian; Cheung, Wing Sum, Orlicz dual Brunn-Minkowski theory: addition, dual quermassintegrals, and inequalities, 11-37 [Zbl 1403.52006]
Daras, Nicholas J.; Alexopoulos, Argyrios, Modeling cyber-security, 39-79 [Zbl 1400.68147]
Daravigkas, E.; Draziotis, K. A.; Papadopoulou, A., Solutions of hard knapsack problems using extreme pruning, 81-95 [Zbl 1410.90177]
Dragomir, Silvestru Sever, Recent developments of discrete inequalities for convex functions defined on linear spaces with applications, 117-172 [Zbl 1402.26012]
Fika, Paraskevi, Extrapolation methods for estimating the trace of the matrix inverse, 173-185 [Zbl 1404.65034]
Gupta, Vijay; Malik, Neha; Rassias, Themistocles M., Moment generating functions and moments of linear positive operators, 187-215 [Zbl 06985760]
Gupta, Vijay; Rassias, Themistocles M.; Agrawal, Deepika, Approximation by Lupaṣ-Kantorovich operators, 217-225 [Zbl 06985761]
Hassani, Mehdi, Enumeration by e, 227-233 [Zbl 1400.05120]
Kenary, Hassan Azadi, Fixed point and nearly \(m\)-dimensional Euler-Lagrange-type additive mappings, 235-249 [Zbl 1402.39014]
Kitsos, Christos P.; Toulias, Thomas L., Discrete mathematics for statistical and probability problems, 251-274 [Zbl 1406.62086]
Lee, Jung Rye; Park, Choonkil; Rassias, Themistocles M., Additive-quadratic \(\rho\)-functional equations in Banach spaces, 281-295 [Zbl 1402.39010]
Limniotis, Konstantinos; Kolokotronis, Nicholas; Kotanidis, Dimitrios, De Bruijn sequences and suffix arrays: analysis and constructions, 297-316 [Zbl 1440.94024]
Mattas, Konstantinos; Papadopoulos, Basil K., Fuzzy empiristic implication, a new approach, 317-331 [Zbl 1401.03052]
Noor, Muhammad Aslam; Awan, Muhammad Uzair; Noor, Khalida Inayat, Bounds involving operator \(s\)-Godunova-Levin-Dragomir functions, 353-361 [Zbl 06985770]
Parasidis, I. N.; Providas, E., Closed-form solutions for some classes of loaded difference equations with initial and nonlocal multipoint conditions, 363-387 [Zbl 1401.39001]
Suksumran, Teerapong, Cauchy’s functional equation, Schur’s lemma, one-dimensional special relativity, and Möbius’s functional equation, 389-396 [Zbl 1401.39027]
Toulias, Thomas L., Plane-geometric investigation of a proof of the Pohlke’s fundamental theorem of axonometry, 397-421 [Zbl 1403.51013]
Turinici, Mihai, Diagonal fixed points of geometric contractions, 423-483 [Zbl 1407.54037]
Yang, Bicheng, A more accurate Hardy-Hilbert-type inequality with internal variables, 485-504 [Zbl 1402.26015]
Zygiridis, Theodoros T., An optimized unconditionally stable approach for the solution of discretized Maxwell’s equations, 505-521 [Zbl 1405.35205]

MSC:

05-06 Proceedings, conferences, collections, etc. pertaining to combinatorics
46-06 Proceedings, conferences, collections, etc. pertaining to functional analysis
68-06 Proceedings, conferences, collections, etc. pertaining to computer science
94-06 Proceedings, conferences, collections, etc. pertaining to information and communication theory
00A69 General applied mathematics
00B15 Collections of articles of miscellaneous specific interest
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