Inequalities for modified Bessel functions and their integrals - ScienceDirect Skip to main
contentSkip to article Elsevier logo Journals & Books Search RegisterSign in View PDF …

In this paper, we introduce some monotonicity rules for the ratio of integrals. Furthermore, we
demonstrate that the function− Tν, α, β (s) is completely monotonic in s and absolutely …

The summation of series of special functions (or, accepting Turán's intervention,“useful
functions”) is a subdiscipline of Classical Analysis. Functional series built from members of …

We present some inequalities for trigonometric sums. Among others, we prove the following
refinements of the classical Young inequality.(1) Let m≥ 3 be an odd integer, then for all n≥ …

Some sharp two-sided Turán type inequalities for parabolic cylinder functions and Tricomi
confluent hypergeometric functions are deduced. The proofs are based on integral …

In this paper our aim is to generalize the complete Butzer–Flocke–Hauss (BFH) Ω-function in
a natural way by using two approaches. Firstly, we introduce the generalized Omega …

In this paper first we survey the Turán type inequalities and related problems for the Bessel
functions of the first kind. Then we extend the known higher order Turán type inequalities for …

In this paper we consider properties and power expressions of the functions f:(-1, 1) → R
and f_L:(-1, 1) → R, defined by f (x; γ)= 1 π ∫\limits _-1^ 1 (1+ xt)^ γ 1-t^ 2\, dt\quad …

The paper is devoted to the study of generalized Krätzel functions, which are the kernel
functions of type-1 and type-2 pathway transforms. Various analytical properties such as …

In view of the relationship with the Krätzel function, we derive a new series representation for
the λ-generalized Hurwitz-Lerch Zeta function introduced by HM Srivastava [Appl. Math. Inf …