An analysis of exponential kernel fractional difference operator for delta positivity
Nonlinear EngineeringPositivity analysis for a fractional difference operator including an exponential formula in its kernel has been examined. A composition of two fractional difference operators of order (ν,μ)\left(\nu ,\mu ) in the sense of Liouville–Caputo type operators
Mohammed Pshtiwan Othman
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The $(p,q)$-Analogues of Some Inequalities for the Digamma Function [PDF]
Journal of Inequalities and Special Functions, 5(2), 2014, 10-14, 2014 In this paper, we present the (p; q)-analogues of some inequalities concerning the digamma function. Our results generalize some earlier results.
arxiv
Some Inequalities for the Ratios of Generalized Digamma Functions [PDF]
Advances in Inequalities and Applications, Vol 2014 (2014),
Article ID 28, 2014 Some inequalities for the ratios of generalized digamma functions are presented. The approache makes use of the series representations of the $(q,k)$-digamma and $(p,q)$-digamma functions.
arxiv
On the $(p,q)$-Gamma and the $(p,q)$-Beta functions [PDF]
arXiv, 2015 We introduce new generalizations of the Gamma and the Beta functions. Their properties are investigated and known results are obtained as particular cases.
arxiv
Inequalities for the Psi and $k$-Gamma Functions [PDF]
arXiv, 2016 In this paper, the authors establish some inequalities involving the Psi and $k$-Gamma functions. The procedure utilizes some monotonicity properties of some functions associated with the Psi and $k$-Gamma functions.
arxiv
On the Laplace transform of absolutely monotonic functions [PDF]
arXiv, 2016 We obtain necessary and sufficient conditions on a function in order that it be the Laplace transform of an absolutely monotonic function. Several closely related results are also given.
arxiv
Characterizations of Nonsmooth Robustly Quasiconvex Functions [PDF]
arXiv, 2018 Two criteria for the robust quasiconvexity of lower semicontinuous functions are established in terms of Fr\'echet subdifferentials in Asplund spaces.
arxiv
On singular nonlinear distributional and impulsive initial and boundary value problems
Boundary Value Problems, 2011 Purpose To derive existence and comparison results for extremal solutions of nonlinear singular distributional initial value problems and boundary value problems.
Heikkilä Seppo
doaj
Logarithmically Complete Monotonicity of Certain Ratios Involving the $k$-Gamma Function [PDF]
arXiv, 2019 In this paper, we prove logarithmically complete monotonicity properties of certain ratios of the $k$-gamma function. As a consequence, we deduce some inequalities involving the $k$-gamma and $k$-trigamma functions.
arxiv
Optical soliton solutions of the coupled Radhakrishnan-Kundu-Lakshmanan equation by using the extended direct algebraic approach. [PDF]
Heliyon, 2023 Mahmood A +6 more
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