A note on the Chebyshev inequality and related inequalities for Fibonacci numbers

Key Points

• The aim is to explore and prove new inequalities related to the Chebyshev type for Fibonacci numbers.
• Proving new results for Fibonacci sequences
• Applying Chebyshev type inequalities
• Analytical methods for mathematical proofs
• New inequalities for Fibonacci numbers have been established
• Insights into the relationship between Fibonacci numbers and Chebyshev inequalities