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  1. Research

    A note on some identities of derangement polynomials

    The problem of counting derangements was initiated by Pierre Rémond de Montmort in 1708 (see Carlitz in Fibonacci Q. 16(3):255–258, 1978, Clarke and Sved in Math. Mag. 66(5):299–303, 1993, Kim, Kim and Kwon in Ad...

    Taekyun Kim, Dae San Kim, Gwan-Woo Jang and Jongkyum Kwon

    Journal of Inequalities and Applications 2018 2018:40

    Published on: 17 February 2018

  2. Research

    The bounds estimate of sub-band operators for multi-band wavelets

    A concept of the sub-band operator of multi-band wavelets is introduced, the theory of d-circular matrices is developed and the upper bound and the lower bound of the norm of the sub-band operator are obtained...

    Qingyun Zou, Guoqiu Wang and Qian Cao

    Journal of Inequalities and Applications 2018 2018:43

    Published on: 17 February 2018

  3. Research

    Inequalities between degree- and distance-based graph invariants

    Inequalities provide a way to study topological indices relatively. There are two major classes of topological indices: degree-based and distance-based indices. In this paper we provide a relative study of the...

    Imran Nadeem and Hani Shaker

    Journal of Inequalities and Applications 2018 2018:39

    Published on: 15 February 2018

  4. Research

    On a reverse Mulholland’s inequality in the whole plane

    By introducing multi-parameters, applying the weight coefficients and Hermite–Hadamard’s inequality, we give a reverse of the extended Mulholland inequality in the whole plane with the best possible constant f...

    Aizhen Wang and Bicheng Yang

    Journal of Inequalities and Applications 2018 2018:38

    Published on: 14 February 2018

  5. Research

    Multivariate systems of nonexpansive operator equations and iterative algorithms for solving them in uniformly convex and uniformly smooth Banach spaces with applications

    We prove some existence theorems for solutions of a certain system of multivariate nonexpansive operator equations and calculate the solutions by using the generalized Mann and Halpern iterative algorithms in ...

    Yongchun Xu, Jinyu Guan, Yanxia Tang and Yongfu Su

    Journal of Inequalities and Applications 2018 2018:37

    Published on: 13 February 2018

  6. Research

    An approximation theorem and generic convergence for equilibrium problems

    In this paper, we prove an approximation theorem for equilibrium problems and provide theoretical support for many algorithms. Simon’s bounded rationality is illustrated by an approximation theorem, that is, b...

    Xiaoling Qiu, Wensheng Jia and Dingtao Peng

    Journal of Inequalities and Applications 2018 2018:30

    Published on: 5 February 2018

  7. Research

    Degenerate Cauchy numbers of the third kind

    Since Cauchy numbers were introduced, various types of Cauchy numbers have been presented. In this paper, we define degenerate Cauchy numbers of the third kind and give some identities for the degenerate Cauch...

    Sung-Soo Pyo, Taekyun Kim and Seog-Hoon Rim

    Journal of Inequalities and Applications 2018 2018:32

    Published on: 5 February 2018

  8. Research

    Some complementary inequalities to Jensen’s operator inequality

    In this paper, we study some complementary inequalities to Jensen’s inequality for self-adjoint operators, unital positive linear mappings, and real valued twice differentiable functions. New improved compleme...

    Jadranka Mićić, Hamid Reza Moradi and Shigeru Furuichi

    Journal of Inequalities and Applications 2018 2018:25

    Published on: 25 January 2018

  9. Research

    On a ratio monotonicity conjecture of a new kind of numbers

    It is known that the concept of ratio monotonicity is closely related to log-convexity and log-concavity. In this paper, by exploring the log-behavior properties of a new combinatorial sequence defined by Z.-W...

    Brian Yi Sun

    Journal of Inequalities and Applications 2018 2018:24

    Published on: 25 January 2018

  10. Research

    Robust optimization model for uncertain multiobjective linear programs

    In this paper, we consider the multiobjective linear programs where coefficients in the objective function belong to uncertainty sets. We introduce the concept of robust efficient solutions to uncertain multio...

    Lei Wang and Min Fang

    Journal of Inequalities and Applications 2018 2018:22

    Published on: 18 January 2018

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