On Some Inequalities with Fibonacci Numbers via Weighted Reverse Hölder Inequalities

Key Points

• The main aim is to derive new inequalities related to Fibonacci numbers using weighted reverse Hölder inequalities.
• Introduced new inequalities for weighted sums of powers.
• Utilized Fibonacci identities to support the derivation of these inequalities.
• Established sequences of new inequalities for Fibonacci numbers.
• Demonstrated the applicability of weighted reverse Hölder inequalities in deriving these results.